I just need help with question one, but if you want to you can answer question 2 as well. I’ll give 100 points!
Answers
Explanation:
Given f(x) : (2, -3)
Translation's:f(x) + 2 then graph translates up by 2 units up = [tex]\boxed{\sf (2, -1)}[/tex]
f(x) - 3 then graph translates down 3 units down = [tex]\boxed{\sf (2, -6)}[/tex]
f(x + 5) then graph translates left 5 units = [tex]\boxed{\sf (-3, -3)}[/tex]
-f(x) then graph reflects over x axis = [tex]\sf \boxed{\sf (2, 3)}[/tex]
f(-x) then graph reflects over y axis = [tex]\sf \boxed{\sf (-2,-3)}[/tex]
f(2x) then graph has horizontal compression = (2/2, -3) = [tex]\boxed{\sf (1, -3)}[/tex]
2f(x) then graph has vertical compression = (2, (-3)2) = [tex]\boxed{\sf (2, -6)}[/tex]
-f(x - 4) then graph reflects over x axis, moves 4 units to right = [tex]\sf \boxed{\sf (6, 3)}[/tex]
Solution 2Parent function: y = x²
Graph function: f(x) = (x + 8)² - 4
After Identification:
D. The graph has a translation of 8 units left and 4 units down.
Answer:
Translations
For [tex]a > 0[/tex]
[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]
[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]
[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]
[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]
[tex]y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis (vertically) by a factor of}\:a[/tex]
[tex]y=f(ax) \implies f(x) \: \textsf{stretched parallel to the x-axis (horizontally) by a factor of} \: \dfrac{1}{a}[/tex]
[tex]y=-f(x) \implies f(x) \: \textsf{reflected in the} \: x \textsf{-axis}[/tex]
[tex]y=f(-x) \implies f(x) \: \textsf{reflected in the} \: y \textsf{-axis}[/tex]
Question 1Given: [tex]f(x)=(2,-3)[/tex]
[tex]f(x)+2 \implies (x, y+2)= (2,-3+2)=(2,-1)[/tex]
[tex]f(x)-3 \implies (x,y-3)=(2,-3-3)=(2,-6)[/tex]
[tex]f(x+5)\implies (x-5,y)=(2-5,-3)=(-3,-3)[/tex]
[tex]-f(x) \implies (x,-y)=(2,-(-3))=(2,3)[/tex]
[tex]f(-x) \implies (-x,y)=(-(2),-3)=(-2,-3)[/tex]
[tex]f(2x) \implies \left(\dfrac{x}{2},y\right)=\left(\dfrac{2}{2},-3\right)=(1,-3)[/tex]
[tex]2f(x) \implies (x,2y)=(2,2 \cdot -3)=(2,-6)[/tex]
[tex]-f(x-4) \implies (x+4,-y)=(2+4,-(-3))=(6,3)[/tex]
[tex]\begin{array}{| c | c | c | c | c | c | c | c |}\cline{1-8} & & & & & & &\\f(x)+2 & f(x)-3 & f(x+5) & -f(x) & f(-x) & f(2x) & 2f(x) & -f(x-4)\\& & & & & & &\\\cline{1-8} & & & & & & &\\(2,-1) & (2,-6) & (-3,-3) & (2,3) & (-2,-3) & (1,-3) & (2,-6) & (6,3)\\& & & & & & &\\\cline{1-8} \end{array}[/tex]
Question 2Parent function: [tex]y=x^2[/tex]
Given function: [tex]f(x)=(x+8)^2-4[/tex]
[tex]f(x+8) \implies f(x) \: \textsf{translated}\:8\:\textsf{units left}[/tex]
[tex]f(x)-4 \implies f(x) \: \textsf{translated}\:4\:\textsf{units down}[/tex]
Therefore, a translation 8 units to the left and 4 units down.
Related Questions
The graph of a function is f(x)=3√x.
Based on this, find:
a) F(0,75), F(9), F(7).
b) the value of x with F(x) = 3;6;7.
Answers
Answer:
F(0.75)= 3/2 sq. root 3
F(9)= 9
F(7)= 3 sq. root 7
b) x= +-1
x=+-4
x= +- 49/9
Question 6(Multiple Choice Worth 1 points)
(01.05 LC)
Which calculation can be used to find the value of q in the equation q³ = 64?
Answers
Answer:
q = ³√64
(cube root 64 )
explanation :
we have to find the value of q but it's given q³ so to find the value of only q we send ³ to other side and it turns into cube root
for example :
like when it's q² = 64 it will be q = ²√64
Find the output, y, when the input, a, is 4.
-8-0
6
2
09
a
Answers
I NEED THIS NOW PLSSSSS
In terms of the number of moose, what is the relative frequency of male moose, female moose, adult moose, and baby moose? Write your answers as simplified fractions.
Elk Mountain Goat Deer Moose
Male 105 71 42 52
Female 120 93 63 34
Adult 173 103 72 58
Baby 52 61 33 28
Answers
The relative frequencies for the given table are:
Male → 13/44Female → 17/86Adult → 29/86Baby → 7/43How to get the relative frequencies?
The relative frequency of a given element out of a set, is given by the quotient between the number of that element and the total number of the set.
Here we can see that the total number of moose is:
52 + 34 + 58 + 28 = 172
There are 52 male moose, then the relative frequency for male moose is:
M = 52/172 = 26/86 = 13/44
There are 34 female moose, then the relative frequency is:
F = 34/172 = 17/86
There are 58 adult moose, so the relative frequency is:
A = 58/172 = 29/86
There are 28 baby moose, so the relative frequency is:
B = 28/172 = 14/86 = 7/43
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Based on the figure, which statement provides enough information to conclude that line ris
perpendicular to line p?
O m/2 = 90°
O m26 = 90°
O m/1+ m26 = 90°
O m/3 + m24 = 90°
Answers
Answer:
m<6 = 90°
Step-by-step explanation:
If lines are perpendicular, the angles form by their intersection measure 90°.
Answer: m<6 = 90°
Based on the figure, correct statement provides enough information to conclude that line r is perpendicular to line p is,
⇒ m ∠6 = 90 degree
We have to given that,
Three lines r, n and p are shown in figure.
Now, We know that,
If a line is perpendicular to another line then it make a right angle in between them.
Hence, By given figure, correct statement provides enough information to conclude that line r is perpendicular to line p is,
⇒ m ∠6 = 90 degree
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A bus company operates services to and from the East, North,South and West regions of the country. A recent report from the Operations Manager contains the following summary of their operations. "The total number of passenger journeys made on our services was 430,000. Of these, 124,000 were to and from the North, 61,000 to and from the South, and 80,000 to and from the East. Passengers used bus passes to pay for 158,000 of the total number of journeys: 43,000 on northern services, 51,000 on western services, and 35,000 on eastern services. Passengers who did not use a bus pass paid for their journeys in cash", Construct a two-way tabulation with rows for the country regions and columns for the method of payment. Work out the figures that are not quoted in the summary by using the information provided.
Answers
To find the number going to and from West is 165,000.
The number of bus passes from Southern services is 29,000.
The two-way tabulationEast------------------- 80,000
North------------------- 124,000
South------------------- 61,000
West-------------------- 165,000
Total--------------------------- 430,000
To find the number going to and from West:
80,000 + 124,000 + 61,000 + x = 430,000
265,000 + x = 430,000
x = 430,000 - 265,000
x= 165,000.
Table for the method of paymentBus Passes
Northern services-------------------- 43,000
Western services-------------------- 51,000
Eastern services---------------------- 35, 000
Southern services---------------------- 29,000
Total----------------------------------------------158,000
Let x be the unknown variable,
43,000 + 51,000 + 35,000 + x = 158,000
129,000 + x = 158,000
x= 158,000 - 129, 000
x= 29,0000
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19. In June, Cory begins to save money for a video game and a TV he wants to buy in Decembe
He starts with $24. Each month he plans to save 10% more than the previous month. How
much money will he have at the end of December?
O$203.74
O$177.34
O$227.69
O$185.22
Answers
The amount of money that he should have at the closing of December should be $227.69.
The correct answer choice is option C
How to find total savings?Given that,
Starting amount = $24And, it plans to save 10% more as compared to the last month.
The amount of money that he should have at the closing of December can be solved using the concept of geometric sequence.
First term, a = $24
Common ratio, r = 1.10
Number of terms, n = 7
So,
Sn = a1×(r^n -1)/(r -1)
S7 = 24×(1.10^7 -1)/(1.10 -1)
= (24×0.948717) / 0.10
= $227.69
The total amount Cory will have saved by the end of December is approximately $227.69
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Answer:
(c) $227.69
Step-by-step explanation:
The amounts Cory will be adding to his account comprise a geometric series with first term $24 and each successive term 10% more, or 1.10 times the previous term. The total amount Cory will have saved by the end of December is the sum of 7 terms of the series.
__
sum of geometric seriesThe sum of ...
24 +1.10×24 +1.10²×24 +... +1.10⁶×24
is given by the formula ...
Sn = a1×(r^n -1)/(r -1)
where a1 is the first term (24), and r is the common ratio (1.10).
formula applicationFor the series representing Cory's deposits, we have ...
S7 = 24×(1.10^7 -1)/(1.10 -1) = 24×0.948717/0.10 ≈ 227.69
At the end of December, Cory will have about $227.69.
_____
Additional comment
A financial calculator or app can also tell you the value of an annuity with a 10% increase per period.
The Code of Conduct ____________ for military members when isolated or held against their will by entities hostile to the U.S.
Answers
The Code of Conduct is a moral guide for military members when isolated or held against their will by entities hostile to the U.S.
What is a code of conduct?A code of conduct is a set of laid down rules that sets the standard for behavior under specific circumstances.
Hence, the Code of Conduct is a moral guide for military members when isolated or held against their will by entities hostile to the U.S.
Missing parts;
The Code of Conduct is a ____________ for military members when isolated or held against their will by entities hostile to the U.S. moral guide recommended procedure mandatory directive direct order
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The ________ could be used to describe a data set by itself, while ___________ would almost never be used to describe a data set by itself.
A. mean ; interquartile range
B. range ; mean
C. interquartile range ; mean
D. mean ; range
Answers
The mean could be used to describe a data set by itself, while interquartile range would almost never be used to describe a data set by itself.
What is Descriptive statistics?These are operations which are used to summarize certain characteristics a set of data has.
Mean and range deals with the full set of data while interquartile range measures just the middle half of the data and is denoted as option A.
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Which of the following statements must be true about parallelogram ABCD?
Answers
Two corresponding sides of two similar triangles are 3 cm and 5 cm. The area of the first triangle is 12 cm. What is the area of the second triangle?
Answers
Since the are of the first triangle is 12 cm², the area of the second triangle is 33.33 cm².
To answer the question, we need to know what similar triangles are
What are similar triangles?Similar triangles are triangles in which the ratio of their corresponding sides is constant.
Given that the corresponding sides of the two similar triangles are 3 cm and 5 cm respectively. Also, the area of the first triangle is 12 cm². We need to find the area of the second triangle.
Area of second triangleSince the triangles are similar, we have that
(side of second triangle/side of first triangle)² = Area of second triangle/Area of first triangle
Area of second triangle = (side of second triangle/side of first triangle)² × Area of first triangle
= (5 cm/3 cm)² × 12 cm²
= 25/9 × 12 cm²
= 25/3 × 4 cm²
= 100 cm²/3
= 33.33 cm²
So, the area of the second triangle is 33.33 cm².
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A unicycle wheel makes five rotations. The unicycle travels 37.94 feet. Find the diameter of the wheel in inches. Use 3.14 for pi. Round to the nearest tenth of an inch
Answers
Answer:
Im not completely sure tho
Step-by-step explanation:
3.141529 I think so 3.14
Ivan bought a $1000 bond with a 4.5% coupon that matures in 30 years. What
are Ivan's annual earnings for this bond?
A. $45.00
B. $25.00
C. $4.50
D. $22.50
Answers
Ivan's annual earnings for this bond is $45.00
What is a bond?A bond is a pledge, made by a borrower to pay a loan taken back to the lender with an interest.
Ivan's annual interest earning would be :
= $1,000 x 4.5 %
= $45 per year
Hence, Ivan's annual earnings for this bond is $45.00
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Chad created a table that shows the ratio of his sports game cards.
Chad’s Cards
Card Type
Outfield
Infield
Catcher
Pitchers
Quantity
3
4
1
2
Next, Chad created the graph below showing possible ratios for Pitchers cards to Infield cards in his deck. Which of the following statements are true?
On a coordinate plane, a graph titled Chad's Cards has Damage on the x-axis and Defense on the y-axis. Points (1, 2), (2, 4), (3, 6), and (4, 8) are plotted.
Chad should not have included the values (1, 2) and (3, 6) because that would mean he only had half a Catcher card.
Chad should not have included the values (1, 2) and (3, 6) because the ratio would be different for these points.
Chad should have changed the axes for the Infield and Pitchers cards so it was the same order as the table.
Chad needs to switch the order of each (x, y) value to show the decreasing values of the Pitchers cards.
Answers
The true statement for Chad graph is that:
On a coordinate plane, a graph titled Chad's Cards has Damage on the x-axis and Defense on the y-axis. Points (1, 2), (2, 4), (3, 6), and (4, 8) are plotted.What is a coordinate plane?A coordinate plane is known to be a kind of two-dimensional plane that is often created by two number lines of intersection.
Note that there is the horizontal number line known as the x-axis and the vertical number line also called the y-axis.
Looking at the question (Image attached), for every two offense, there is 4 defense.
So we can say that the proportion of offense to defense is 1:2
Therefore, the correct value or the graph is (1, 2), (2, 4), (3, 6), and (4, 8) as it doubles itself.
The true statement for Chad graph is that:
On a coordinate plane, a graph titled Chad's Cards has Damage on the x-axis and Defense on the y-axis. Points (1, 2), (2, 4), (3, 6), and (4, 8) are plotted.Therefore, option A is correct.
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Answer: A
Step-by-step explanation: I did the test and got it right
help pls!!1!1!1!1!1!1!1!!1!1!1!1
Answers
girls - white water rafting
hope this helps!!
Answer:
a) high ropes course
b) white water rafting
Step-by-step explanation:
2. Using the discriminant, determine the number of real roots of the equation x² - 4x + 4 = 0. Do not solve the equation.
Answers
Step by Step Explanation:
The discriminant uses the formula b^2-4ac. (^ means an exponent, b squared up above)
a=1, b =4, c=4 sub in those values into the formula.
(4)^2-4(1)(4) = 0
Since the answer is 0, the equation will have 1 real root.
PLease help me solve this
Answers
Answer: 729
Step-by-step explanation:
[tex]\frac{1}{3^{-2} * 3^{-4} * (-1)^{2} }[/tex]
3^-2 = 1/9
3^-4 = 1/81
(-1)^2 = 1
1/(1/9 * 1/81 * 1)
1/ 1/729 = 729
Describe What Anime Is
(In 2 or 3 sentences)
Pls don’t copy and paste from G00gI3
Answers
Answer:
Anime is animation from japan
Mark transferred songs from his computer onto his portable music player. He transferred songs in minutes. How many songs did he transfer per minute?
Answers
Answer:
Need more info
Step-by-step explanation:
You're working with rates. It's relatively straight forward. Take miles per hour for instance. If you travel 60 miles in one hour, you're rate of speed is 60 miles per hour.
You haven't given any data in this example but the idea is the same. Let's say he transferred 10 songs in 5 minutes. That's means his rate is 10 songs per 5 minutes. You can change that to a fraction so it's easier to understand:
[tex]\frac{10 songs}{5minutes}[/tex]
Now just reduce the fraction and it becomes
[tex]\frac{2 songs}{1 minute}[/tex]
Also known as 2 songs per minute
One positive number is 5 times another number. The difference between the two numbers is 1432, find the
numbers.
Answers
Answer:
358 , 1790
Step-by-step explanation:
Answer me pleaseeee. What is 3*3*3*3*3*3*3*3*8*8*0*8*8*9*8*6? Gk test
Answers
Answer:
0
Step-by-step explanation:
Since we're multiplying by 0, the entire product becomes 0.
Answer:
it's 0.
Step-by-step explanation:
3*3*3*3*3*3*3*3*8*8*0*8*8*9*8*6
= 0
there is a zero hidden . so it's zero.
A book editor wants to check a sample of pages in a 100-page magazine for errors. Which of the following is an example of systematic random sampling? A. Pick 20 random numbers. Check pages that match. B. Check every page in the book except the last 30. C. D. Check only even page numbers.
Answers
The following is an example of systematic random: D. Check only even page numbers.
What is Systematic sampling?Systematic sampling is a sampling method use my researcher in which the researcher tend to choose or pick a group of people at periodical interval.
Based on the scenario give checking only even page numbers is an example of systematic random sampling.
Therefore the correct option is D.
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Which set of rectangular coordinates describes the same location as the
polar coordinates (3-√2.37)?
4
Answers
The rectangular coordinates will be (2.999, -0.1239)
What are different Coordinate System ?The Cartesian Coordinate system is not sufficient to locate points in a plane , therefore some other systems like polar coordinates , spherical coordinates , cylindrical coordinate systems are used.
Polar coordinates are given in the question and we need to determine rectangular coordinates for the same.
The equations used to convert from polar coordinates to rectangular coordinates.
x=rcosθ
y=rsinθ
z=z
For the polar coordinates
(3-√2.37)
r = 3
[tex]\rm \theta \\[/tex] = -√2.37
x = 3cos (-√2.37)
x = 3 *0.999
x =2.999
y = 3 sin.(-√2.37)
y = 3*(-0.0413)
y = -0.1239
Therefore the rectangular coordinates will be (2.999, -0.1239)
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Graph the function y = x3 + x2 – 6x + 5. What are the coordinates, to the nearest tenth, of the relative maximum of the graph?
(1.1, 0.9)
(1.5, 1.3)
(–2.2, 15.8)
(–1.8, 13.2)
Answers
The coordinates, to the nearest tenth, of the relative maximum of the graph is (-1.8,13.2)
How to determine the relative maximum?The equation of the function is given as:
y = x^3 + x^2 – 6x + 5
Next, we plot the graph of the function (see attachment)
From the attached graph, we have the relative maximum to be at:
(x,y) = (-1.8,13.2)
Hence, the coordinates, to the nearest tenth, of the relative maximum of the graph is (-1.8,13.2)
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please help me Im almost done
Answers
Answer:
[tex]\mathsf {x = 76}[/tex]
Step-by-step explanation:
The given pair of angles lie on a line, hence they are classified as linear angles. They possess the property by which their sum is equal to 180°.
[tex]\textsf {Solving :}[/tex]
[tex]\implies \mathsf {x + 17 + 87 = 180}[/tex]
[tex]\implies \mathsf {x + 104 = 180}[/tex]
[tex]\implies \mathsf {x = 180 - 104}[/tex]
[tex]\implies \mathsf {x = 76}[/tex]
Find the equation of a line passing through (3,4) and (1,-4). Enter your answer in the slope-intercept form (namely, type your answer exactly in the form of y = mx + b).
Answers
Answer:
y=4x−8
Step-by-step explanation:
Can someone help me
Answers
Answer:
1) 33.333...%
2) 33.333...%
Step-by-step explanation:
4 students out of 12 are wearing all color.
4 students out of 12 are wearing blue shoes.
In a class of students, the following data table summarizes the gender of the students and whether they have an A in the class. What is the probability that a student is a
female given that they have an A?
Answers
The probability that a student is a female given that they have an A is; 2/7
How to find the probability?From the given table, we see that;
Number of males that got A = 4
Number of males that did not get A = 8
Number of females that got A = 6
Number of females that did not get A = 3
The probability that a student is a female given that they have an A is;
P(Female|A) = 6/(4 + 8 + 6 + 3)
P(Female|A) = 6/21 = 2/7
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Will give 100 points!!
Answers
Answer:
[tex]\large{\boxed{\sf 2x+h-4}}[/tex]
Explanation:
f(x) = x² - 4x + 3
f(x + h) = (x + h)² - 4(x + h) + 3
Solving Steps:
[tex]\rightarrow \sf \dfrac{(x + h)^2 - 4(x + h) + 3 - (x^2 - 4x + 3)}{h}[/tex]
[tex]\rightarrow \sf \dfrac{x^2 + 2xh + h^2 - 4x -4h+3-x^2+4x-3}{h}[/tex]
[tex]\sf \rightarrow \dfrac{2xh+h^2-4h}{h}[/tex]
[tex]\rightarrow \sf 2x+h-4[/tex]
Put values
[tex]\\ \rm\Rrightarrow \dfrac{x^2+2xh+h^2-4x-4h+3-x^2+4x-3}{h}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{2xh+h^2-4h}{h}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{h(2x+h-4)}{h}[/tex]
[tex]\\ \rm\Rrightarrow 2x+h-4[/tex]
Jordan is planning to buy a vehicle. He has the following choices.
Type: sedan or SUV
Transmission: 5-speed or automatic
Color: red, blue, black, green, or silver
Top: sunroof or no sunroof
Jordan says that he has a total of 2 + 2 + 5 + 2, or 11, possible vehicle choices. What is Jordan’s error?
He should have multiplied the sum by 4.
He should have added only the choices for type and transmission.
He should have multiplied only the choices for type and transmission.
He should have multiplied the choices, instead of adding them.
Answers
Jordan's error is He should have multiplied the choices, instead of adding them. Thus, the correct option is D.
What are the number of choices?Whenever you have multiple choices, you have to multiply the number of choices you have in different groups to get the final number of choices.
For example, you have to make a sandwich and you can either use white bread or brown bread. Also, you can either use jam or peanut butter or veggies. Therefore, here the number of choices is 6.
White bread and JamWhite bread and Peanut butterWhite bread and VeggiesBrown bread and JamBrown bread and Peanut butterBrown bread and VeggiesSimilarly, Jordan has two choices for type, two choices for transmission, 5 choices for color, and 2 choices for the top. Therefore, the number of choices Jordan has is,
Number of choices in total = 2 × 2 × 5 × 2
Hence, Jordan's error is He should have multiplied the choices, instead of adding them. Thus, the correct option is D.
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Answer:
D
Step-by-step explanation: