Given the function f(x)=(x+3)2-1, which of the following would describe a shift of the vertex 3 units to the left.

A. f(x + 3)
B. f(x)+3
C. f(x)-3
D. f(x-3)

Answers

Answer 1

Answer:

A. f(x+3)

Step-by-step explanation:

The vertex form is y=a(x-h)^2+k. To move left, your 'h' value has to be negative, so in this case, it'd be -3, but wait. Since it already tells you to subtract the 'h' value, subtracting -3, (-(-3), would be the same as adding 3. So inside the form, it has to be (x+3) to make sense. A is the correct answer.

B is incorrect because that just shifts the function 3 units up.

C is incorrect because that shifts the function 3 units down.

D is incorrect because that shifts the function 3 units right.

Hope this helps.


Related Questions

Question 1 (4 points)
(07.07)
True or False?

When Samantha includes more batteries in her project, the current in her project increases. Current is the independent variable in this situation. (4 points)

True
False
Question 2 (4 points)
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Byron can earn money for the lollipops he sells. Which of the following statements describes the variables in this situation correctly? (4 points)

a
The amount of money earned is the dependent variable because it affects the number of lollipops sold.

b
The number of lollipops sold is the dependent variable because it affects the amount of money earned.

c
The amount of money earned is the independent variable because it affects the number of lollipops sold.

d
The number of lollipops sold is the independent variable because it affects the amount of money earned.

Question 3 (4 points)
(07.07)
Ethan's bus is traveling at a speed of 35 miles per hour. If m represents the distance the bus has traveled and n represents the time it has spent traveling, which of the following equations shows the relationship between m and n? (4 points)

a
m = 35n

b
n = 35m

c
m = 35 + n

d
n = 35 + m

Question 4 (4 points)
(07.07)
It costs $1.58 to buy a bag of popcorn. Which of the following equations shows the amount of money needed, z, to buy n bags of popcorn? (4 points)

a
z = 1.58 + n

b
n = 1.58 + z

c
z = 1.58n

d
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Question 5 (4 points)
(07.07)
James built a small electric car and recorded the distance it traveled. The table below shows the distance traveled (n) during the first 4 seconds after starting (f).

Elapsed Time
(seconds) Distance Traveled
(feet)
1 6.2
2 12.4
3 18.6
4 24.8
Which of the following equations represents the relationship between the distance traveled and the elapsed time? (4 points)

a
f = 6.2 + n

b
n = 6.2 + f

c
f = 6.2n

d
n = 6.2f

Answers

Answer:

LOOK BELOW

Step-by-step explanation:

Question 1 is false and question 2 is true.

hope this helps and add me!

The red figure is congruent to the blue figure. Complete the transformations so that the blue figure is the image of the red figure.

Answers

Answer: a.180 rotation about the origin

               c.reflection in the y-axis

               d.reflection in the x-axis

Step-by-step explanation:

SO sorry that no one has answered this question its been so long

also sorry I don't know B

What part of the seventh- and eighth-grade students walk to school?

Answers

Exactly 180 student 7-8th grade walk to school

A rectangle on a coordinate plane has vertices Q(-1, 1), R(6, 1), S(6, Negative 8), and T(-1, -8). What are the dimensions of the rectangle?
A) The base is 6 and the height is 9.
B) The base is 9 and the height is 6.
C) The base is 7 and the height is 9.
D) The base is 9 and the height is 7.

Answers

C. The base is 7 and the height is 9.

Answer:

c

Step-by-step explanation:

edge

Thats the questions for my other problem

Answers

are there any answer choices??

i found this i hope it helps xoxo

helpppppppppppppppppppppp :( its something with math up ):

:( ILL MAKE YOU BRAINLISTT!! AND GIVE U A THANK YOUU!! + U GET A 5 STARS :) SO WHY NOT :)

1. Fill in the blanks in each sentence lots of ways to make the sentence true. Use a variety of whole numbers, proper fractions, improper fractions, and mixed numbers.

a) _____ is 2/5 of _____.

b) _____ is 3 1/3 times _____.

2. Use a representation, not just rules, to explain how you came up with at least two true sentences for each part of Question 1, and estimate to show why your answers make sense.

3. Explain why you were really multiplying the value in the second blank by 2/5 or 3 1/3 to figure out how to complete the sentences.


:( ILL MAKE YOU BRAINLISTT!! AND GIVE U A THANK YOUU!! + U GET A 5 STARS :) SO WHY NOT :)

Answers

Answer:20 is 2/5 of 50 and 100 is 3 1/3 of 30

Step-by-step explanation:

its simple knowledge

Is the expression 3^2/3^3 equivalent to 3^3/3^2

explain.

Answers

Answer:

No, the two expressions are not equivalent.

Step-by-step explanation:

3²÷3³ = 9÷27 = 1/3

3³÷3² = 27÷9 = 3

Answer:

No, the two expressions are not equivalent.

Step-by-step explanation:

Step-by-step explanation:

3²÷3³ = 9÷27 = 1/3

3³÷3² = 27÷9 = 3

coach cliffman made an deposit of$1,800 into and account that earns 2% annual simple interest. find the amount of interest that coach cliffman earned after 3 years

Answers

Answer:

5508$

Step-by-step explanation:

$5508 would be the answer

Pls answer will mark brainliest to correct answer

Answers

Answer: 85ft

Step-by-step explanation:

if the friend is on ground levle, then just add 35ft and 50 ft.

A = {x | x <15, x ϵ A} and B = {2, 3, 5, 7, 9, 11, 13, 17}. The results of A - B are

Answers

Answer:

All answers here: https://www.cimt.org.uk/projects/mepres/step-up/mepanswers.pdf

A regular number cube (1 - 6) was rolled 30 times. The results are shown in the table below.






Based on the results, what is the experimental probability that the next time the number cube is rolled it will land on a 3 or a 5?

Answers

Answer:

50%

Step-by-step explanation:

please help me asap ill give brainilist

Answers

Answer:

b and i think 4992

Step-by-step explanation:

Find the the Unknown sides (please help)

Answers

Answer:

10) x = 8.12

12) x = 5.5

Step-by-step explanation:

10) Since the leg adjacent to the angle is given and the leg opposite to the angle needs to be figure out the Tangent ratio will be used which states Tan(32°) = [tex]\frac{x}{13}[/tex] and simplified, will give the answer 8.12 to the nearest hundreths.

12) The leg opposite to the right angle is given which means that its the hypotenuse. The hypotenuse is given and the side adjacent to the angle needs to be figured out so Cosine ration will be used. Which states; Cos(60°) = [tex]\frac{x}{11}[/tex]. Simplified further will give the value of 5.5 exact.

Hope this helped, Good Luck!

ANSWER:
X=8.12
X=5.5

Please mark brainliest if this helped:)

Becky uses 10 strawberries and 4 oranges to make 8 servings of fruit salad.

Drag oranges and strawberries into the box to show how many Becky needs to make 12 servings.
i will give brainliest

Answers

Answer:

Becky needs 15 strawberries and 6 oranges to make 8 servings of fruit salad

Step-by-step explanation:

8 servings need 10 strawberries    

1 serving need  strawberries  

12 servings need 12*1.25 = 15 strawberries  

We do the same for oranges  

8 servings need 4 oranges  

1 serving need  oranges  

12 servings need 12*0.5 = 6 oranges

Answer:

15 strawberries and 6 oranges

Step-by-step explanation:

The figure below shows a shaded circular region inside a larger circle:

A shaded circle is shown inside another larger circle. The radius of the smaller circle is labeled as r and the radius of the larger circle is labeled as R. On the right side of the image is written r equal to 3 inches and below r equal to 3 inches is written R equal to 5 inches.

What is the probability that a point chosen inside the larger circle is not in the shaded region?

24%
36%
50%
64%

PLS NO LINK thanks :)

Answers

Answer:

Step-by-step explanation:

here you go it in there

Answer:

Probability is 64%

Step-by-step explanation:

Given the smaller circle which is shaded whose radius is denoted by r and  the largest circle whose radius is denoted by R

                     r = 3 inches

                    R = 5 inches

Step 1 : To calculate the area of shaded region.

Area of circle =

⇒ Area =    

          =   square inches

Step 2 : To calculate the area of larger circle.

Area of circle =

⇒ Area =    

            =  square inches

Step 3 : Calculate the probability that a point chosen from shaded region

Probability = Area of shaded region/Area of larger circle.

                  =  /

                  =  

                  =  0.36 = 36%

Step 4 : calculate the probability that a point chosen inside the larger circle is not in shaded region.

Probability = 1 - 0.36

                  = 0.64 = 64%

Hence the probability is 64%

here is another oneee and thank you eveyone for helping me with my questions you dont know how much this means:)))))))

Answers

Answer:

hope this helps

Step-by-step explanation:

GIVING BRAINLIEST
Phillip is rolling two number cubes. How many different ways can he roll the number cubes and get a sum of 5?

A) 3
B) 4
C) 5
D) 6

Answers

It’s B - 4 your welcome ☺️☺️

PLS HELP ILL GIVE BRAINLIEST!

Answers

Answer:

i believe it would be A tell me if im wrong

Step-by-step explanation:

I believe it is A
Explanation

Points (4, 5) and (10, 5) are vertices of a rectangle.

The length of the rectangle is twice the width.

The other vertices are located at (4, ___ ) and (10, ___ ). What could these ordered pairs be?

pls help im begging yu

Answers

Answer:

the remaining two vertices must be (4, -7) and (10, -7).

Step-by-step explanation:

The vertices (4, 5) and (10, 5) lie on the same horizontal line, y = 5.  The length of the rectangle is the difference between the two x-coordinates:  10 - 4, or 6.

Let's denote 6 as the width.  Then the length is twice that, or 12.

Then the remaining two vertices must be (4, -7) and (10, -7).

Check:  is the width 6?  Does 10 - 4 equal 6?  Yes

Is the length twice the width, or 12?  Does 5 - (-7) = 12?  YES

The other vertices are located at (4, -7 ) and (10, -7)

Area of a rectangle

Given two points on a rectangle as (4, 5) and (10, 5)

Since both coordinates lies on the same y axis, then the width of the triangle is expressed as;

width = 2(10-4)

width = 12 units

The y coordinate of the other vertices will be;

y = 5 - 12

y = -7

Hence the other vertices are located at (4, -7 ) and (10, -7)

Learn more on coordinate of rectangle here: https://brainly.com/question/10737082

Hey! what note is this? I need to know so i can play my song for band (btw sorry that i put mathematics, I couldn't find a music category.

Answers

I think it’s b , did you crop the last line out

Answer:

eighth note upside down , good luck for your band ! hope of success ^_^

Ту
4
E
24
2
2.
4
X
-2
с
14
D
1. What's the distance between points C & D?
2. What's the distance between points E & D?
square units
square units
3. What is the area of triangle CDE shown in the coordinate plane above?
square units

Answers

Answer:

Step-by-step explanation:

1) |1-(-3)| = |1+3| = 4

2) |2-(-3)| = |2+3| = 5

3) (base x height)/2 = (5 x 4)/2 = 10

Which expression is represented on the number line?

Answers

Answer:

F

Step-by-step explanation:

The answer is F because if you add up the -2's, it equals 8 and it is taking away from 0 so it is 0-(-8)

It’s g because as you can see that there is 4 -2 which means there’s 4 groups of -2 so ur multiplying .

Find the area of the shaded region.

Answers

Answer:

75m2

Step-by-step explanation:

Usually, we would subtract the area of a smaller inner shape from the area of a larger outer shape in order to find the area of the shaded region.

The area of the shaded region is the difference between the areas of the rectangle and the square. The dimensions of the rectangle are 6 by 8 and so the area is 6 times 8, that is 48 square units. Each side of the square measures 2 units and so the area is 2 times 2, that is 4 square units.

The answer is 75m2 Hope it helps

HELP ME!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

Multiply 120 by 5/8

Please help me if you can. Please also write how you got the answer thank you.

Answers

First state your variables:

a = Andile

Everything is related to Andile and therefore we do not need to make this equation more difficult by adding in more variables.

a + (a - 40) + 2(a - 40) = 380

Expand brackets and simplify:

2a - 40 + 2a - 80 = 380

4a - 120 = 380

4a = 500

Then solve for 'a' by dividing by both sides:

a = $125

Now we know Andile's pay we can find Taylor's quite easily:

t = a - 40

t = 125 - 40

t = $85

Taylor earned $85.

Please mark as brainliest :)

Hope this helps :)))

HELP ASAP!! WILL GIVE BRAINLIEST!! ANSWER ALL PLEASE!!

Answers

Answer:

B) and A)

Step-by-step explanation:

Lines m and n are perpendicular. Rotating a point D 180 degrees using center A has the same effect as reflecting over line m. What are two possible locations of point D? Do all points in the plane have this property?

Answers

Answer:

yes they do

Step-by-step explanation:

Pls help

This figure consists of a rectangle and semicircle.


What is the perimeter of this figure?


Use 3.14 for pi.


60.84 m


72.84 m


79.68 m


98.52 m

Answers

Perimeter of figure = 3 sides of rectangle + perimeter of semi-circle.

3 sides of rectangle = 15 + 12 + 15 = 42

Perimeter of semi-circle = πr = 3.14 * 6 = 18.84

In short, Your Answer would be: 42 + 18.84 = 60.84 m

Hope this helps!

there are 60 in in 5 feet how many inches are in 8 ft

A. 63 in
B. 72 in
C. 96 in
D. 80 in​

Answers

Answer:

ABCD

Step-by-step explanation:

JUST BECAUSE

Answer:

your answer is C:96in

Step-by-step explanation:

10 points for two questions please don’t write anything just to take my points

Answers

answer:

the picture is both the answer and the explanation

good luck :)

i hope this helps

**please let me know if this was wrong or not what you were looking for**

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