The graphs below have the same shape. What is the equation of the blue
graph?
g(x) = ?
ve
-5
-5
g(x) =
O A. g(x) = (x+3)2 - 2
O B. g(x) = (x - \3)2 - 2
xx
O c. g(x) = (x + 3)2 + 2
O D. g(x) = (x – 3)2 + 2

The Graphs Below Have The Same Shape. What Is The Equation Of The Bluegraph?g(x) = ?ve-5-5g(x) =O A.

Answers

Answer 1

The equation of the translated function is:

g(x) = (x + 3)^2 - 2

How to get the equation for the blue graph?

We can see that the blue graph is a translation of the red one, where the equation for the red graph is:

f(x) = x^2

Remember that the translations are:

Horizontal translation:

For a general function f(x), a horizontal translation of N units is written as:

g(x) = f(x + N).

If N is positive, the shift is to the left.If N is negative, the shift is to the right.

Vertical translation:

For a general function f(x), a vertical translation of N units is written as:

g(x) = f(x) + N.

If N is positive, the shift is upwards.If N is negative, the shift is downwards.

By analyzing the vertices, we can see that the vertex of the blue graph is at (-3, -2) so we have a translation of 3 units to the left and 2 units down, meaning that we have:

g(x) = f(x + 3) - 2 = (x + 3)^2 - 2

So the correct option is A.

If you want to learn more about translations, you can read:

https://brainly.com/question/11468584


Related Questions

Item 19 Your pump empties the water from a swimming pool in 6 hours. When your friend's pump is used together with your pump, the pool is emptied in 1.5 hours. How long (in hours) does it take your friend's pump to empty the pool when working alone

Answers

Answer:

0.75 hours

Step-by-step explanation:

Time taken by my pump = 6 hours

Time taken by friend's pump = x

Combined time = 1.5 hours

Rate :

my pump = 1/6

Combined rate = 1/1.5

Combinwd rate = 1/6 + 1/x

Hence :

1/6 + 1/x = 1/1.5

(x + 6) / 6x = 1.5

x + 6 = 9x

x - 9x = - 6

-8x = - 6

x = - 6 / - 8

x = 0.75 hours

Evaluate the expression when x = 4 and y = 5.

3x2 + 4yº.x-1


Answers

Answer:

49

Step-by-step explanation:

Plug in 4 for x and 5 for y

[tex]3x^{2}+4y^{0}*4^{-1} \\3*4^{2} +4*5^{0}*4^{-1} \\3*16+4*5^{0}*4^{-1} \\[/tex]

What is the midline equation of y = 2 sin( pi/2 x+3)?​

Answers

Answer:

y = 0 is the midline equation.

Step-by-step explanation:

The midline equation of y = 2 sin( pi/2 x+3) is the same as that of

                                         y = 2 sin( pi/2 x+3) or y = sin( pi/2 x+3), and is

                                          y = 0.

A tiene la mitad de lo que tiene B. Si A gana 66 y B pierde 90. A tendrá del doble de lo que le quede a B ¿cuanto tiene cada uno?

Answers

Respuesta:

a = 82; b 164

Explicación paso a paso:

a = 1 / 2b - - - (1)

a gana 66 = a + 66

b = b - 90

a = 2b

a + 66 = 2 (segundo - 90) - - - (2)

Ponga a = 1 / 2b en (2)

1 / 2b + 66 = 2 (b-90)

0.5b + 66 = 2b - 180

0.5b - 2b = - 180 - 66

-1,5b = - 246

b = 164

a = 1 / 2b

a = 1/2 * 164

a = 82

which expression represents the area of this shape

Answers

We can’t see the shape

Answer:

which shape pls

Step-by-step explanation:

Evaluate 3(x + y) for x = 2 and y = 7 show work.

Answers

Answer:

[see below]

Step-by-step explanation:

[tex]3(x+y)\\\\3(2+7)\\\\3(9)\\\\\boxed{27}[/tex]

Hope this helps!

Answer:

27

Step-by-step explanation:

plug in what = x and y in the parenthisis

so that would be 3(2+7)

you do what is in the parentheisis first 2+7= 9

then you multiply  3*9=  27

A calculator costs $85 at staples if the calculator is 20% off how much do you pay?

Answers

Answer:

$ 17 off

Step-by-step explanation:

20% is one fifth of the price

So divide 85 by 5  you get 17

Since you only get one 1/5 of the price off you save $17

Just to check and make sure you can do 17 * 5 = 85

you should get $68 bc when you take 20% off of 100 you are paying 80% and that in a decimal is 0.8 so you multiply 85 by 0.8

A cylinder has a height of 8 inches and a radius of 7 inches. What is its volume? Use ​ ≈ 3.14 and round your answer to the nearest hundredth. Cubic inches

Answers

Answer:

No idea, just wanna learn and get points

Answer: [tex]1230.88\ in.^3[/tex]

Step-by-step explanation:

Given

A cylinder has a height [tex]h=8\ in.[/tex]

Radius of the cylinder is [tex]r=7\ in.[/tex]

Volume of the cylinder is given by [tex]V=\pi r^2 h[/tex]

Insert the values

[tex]\Rightarrow V=\pi \times 7^2\times 8\\\Rightarrow V=3.14\times 49\times 8\\\Rightarrow V=1230.88\ in.^3[/tex]

Thus, the volume of the cylinder is [tex]1230.88\ in.^3[/tex]

Which expression is NOT equal to 28?
A (9+ 25 = 5) 2

B.3-4x2) - 11x7

C.42= 6 + 28 = 4

D. 7* [8-(2-4 * 2)]
I

Answers

Answer:

You need the legnth of x

Step-by-step explanation:

Answer:

C.42= 6 + 28 = 4 is the answer

Find the VOLUME of this figure.

Answers

Answer:

188,160

Step-by-step explanation:

if your doing it by step the answer is 188,160 but when you simply it it is 62.6

Find the factorial form
3x2x1

Answers

Answer:

3x2x1=3!

Step-by-step explanation:

using nx(n-1)x_x1=n

3x2x1=3!

hence,3x2x1=3!

What is the product of -1.24 and 4.25?
A-5.27
B -3.01
C 3.01
D 5.49

Answers

The product is A -5.27

A car dealership offers two types of discounts.

Discount 1: Take 5% off the original price of a car built last year, and then receive a $3,500 rebate.

Discount 2: Take 10% off the original price of a car built this year, and then rece ve a $1,250 rebate.

A customer is deciding between two cars. Car R was bure ast year and has an original price of $25,340. Car 5 was built this vear and has an original price of 522.960. .

Based on this information, which statement is true?

F The customer would pay $19,524 for cars S.

G The customer would pay $24.078 For Cars R.

H The customer would pay $21,824 For Cars S.

J The customer wou d pay $23.10 O Car R.​

Answers

Question:

Based on the same question options as found an online resource, we have;

Statement

G. The customer would pay $24,073 for car R

Answer:

The true statement

G. The customer would pay $24,073 for car R

Step-by-step explanation:

Discounts are deductions from the original price of a commodity or service

A rebate is a partial refund after payment is made

The discount offered by the car dealership are;

Discount 1;

5% reduction off a car built last year's original price, + $3,500 rebate

Discount 2;

10% reduction off a car built this year's original price + $1,250 rebate

The year car R was built = Last year

The original price for car R = $25,340

Let 'A' represent the amount the customer would pay, let, 'p' represent the price of the car, let 'd' represent the discount offered, and let 'r' represent the rebate

Given that the payment is made before the rebate, we have;

The amount the customer will pay, A = p - (p×d)

Therefore;

The amount the customer would pay for car R = $25,340 - (0.05 × $25,340) = $24,073

The amount the customer would pay for car S = $22,960 - (0.1 × $22,960) = $20,644

Therefore, the true statement, is the customer would pay $24,073

Answer:

$24,073

Step-by-step explanation:

What is the Quadratic Formula for y = x2 + 4x – 5

Answers

Answer:

i believe it is already written in the quadratic formula. there's nothing to change

Step-by-step explanation:

SOMEONE PLEASE HELP!! EXPLANAITION = BRAINLIEST + FIVE STARS!! THANK YOU SO MUCH


A cone with volume 448 m³ is dilated by a scale factor of 1/4.

The volume of the resulting cone is ___ cubic meters.

Answers

The answer is 112

The volume is 448
You are asked to dilate it to a scale factor of 1/4
All you are doing is multiplying: 448/1 × 1/4

As the founder of the book club, you won't hold any office yourself, but there are 36 other members who are eligible for the different posts. After contacting each member, you find that 32 of them want to be the club's president. You decide to apply the first counting rule to choose the president.Question 3 What is the probability that each candidate has of being the club's president?

Answers

Answer:

2.3%

Step-by-step explanation:

Answer:

STRIGHT FROM THE SITE

Step-by-step explanation:

can someone please help me get the steps right ????

Answers

Yes zoom in a little for me

Pls tell me the answer I don’t know it I need help

Answers

Answer:

(5,2)

Step-by-step explanation:

The first coordinate is the x coordinate or the distance left or right from the origin.  To get to L we go 5 units to the right or +5.

The second coordinate is the y coordinate or the distance up or down,  We go 2 units up or +2

(5,2)

Answer:

the answer is

x-axis=+5

y-axis=+2

therefore the answer here is (5,2)

120 people were asked the colour of their car and the pictogram shows the results. 32 cars are red. how many cars are white?

Answers

Answer:

120-32=88

Where is the pictogram?

NEED ASAP URGENT
Which similarity statement expresses the relationship between the two triangles?

triagleZYX- triangleCAB

triangleZYX-triangleACB

triangleZYX-triangleCBA

triangleZYX - triangleABC

Answers

Given:

The figure of two triangles.

To find:

The similarity statement for the given triangles.

Solution:

The corresponding sides of similar triangles are proportional.

In the given triangles,

[tex]\dfrac{XY}{AB}=\dfrac{6}{12}[/tex]

[tex]\dfrac{XY}{AB}=0.5[/tex]

Similarly,

[tex]\dfrac{YZ}{BC}=\dfrac{3}{6}[/tex]

[tex]\dfrac{YZ}{BC}=0.5[/tex]

And,

[tex]\dfrac{XZ}{AC}=\dfrac{7}{14}[/tex]

[tex]\dfrac{XZ}{AC}=0.5[/tex]

Since [tex]\dfrac{XY}{AB}=\dfrac{YZ}{BC}=\dfrac{XZ}{AC}[/tex], therefore

[tex]\Delta XYZ\sim \Delta ABC[/tex]

It can be written as:

[tex]\Delta ZYX\sim \Delta CBA[/tex]

Therefore, the correct option is A.

4 – (3 – 5) =

Possible Answers:
A. -4
B. -2
C. 6
D. 12

Answers

Answer:

6

Step-by-step explanation:

4 – (3 – 5) =

PEMDAS says parentheses first

4 – (-2) =

Subtracting a negative is like adding

4 +2

6

Answer:

2-

Step-by-step explanation:

.....................................................................

15. Find the product of (5x – 3) and (x3 – 5x + 2).
a) 5x4 – 3x3 + 25x2 – 5x – 6
b) 5x3 – 28x2 + 25x – 6
c) 5x4 – 3x3 – 25x2 + 25x – 6
d) 5x3 + 22x2 – 5x – 6

Answers

Answer:

B. 5x^4 - 28x^2 + 25x - 6

Step-by-step explanation:

the steps r in the pic above

Tyler's mom purchased a savings bond for Tyler. The value of the savings bond increases by 4% each year. One year after it was purchased , the value of the savings bond was $156. Find the value of the bond when Tyler's mom purchased it. Explain your reasoning.

Answers

Answer:

Tyler's mom purchased a savings bond for Tyler. The value of the savings bond increases by 4% each year. One year after it was purchased, the value of the savings bond was $156.

Find the value of the bond when Tyler's mom purchased it. Explain your reasoning.

Step-by-step explanation:

(7.5)What is the value of x?
X
オー2
x + 5
x + ]
A
7.5
B.
10
C
2.5
D
5

Answers

Answer:

D 5

Step-by-step explanation:

the same scaling factor s applies to all sides when transforming from the small to the large triangle.

x×s = x + 5

(x-2)×s = x +1

=> s = (x+5)/x

=> (x-2)×(x+5)/x = x + 1

=> x² + 3x - 10 = x² + x

=> 3x - 10 = x

=> 2x = 10

=> x = 5

ANSWER ASAP!!
What is the surface area of the shaded front face of the composite solid?​

Answers

Answer:

break it in three rectangles!

let the rectangles be A B and C

For A = 4×2

For B 3× (4-2)

For C = 4×3

Total area 26cm²

Mr. Falk is going to replace the carpet in his basement. The basement is
rectangular with a length of 27 feet and a width of 18 feet. If the cost of the
carpet is $32 per square yard, what will be the total cost?*

Answers

Answer:  1728 dollars

==========================================================

Explanation:

1 yard = 3 feet

We'll divide by 3 to convert from feet to yards

27 feet = 27/3 = 9 yards18 feet = 18/3 = 6 yards

The basement is 9*6 = 54 square yards in floor area.

At $32 per square yard, the total cost to carpet the floor is 32*54 = 1728 dollars.

A water slides at a party of s 15 feet tall.The base of the water slide is 8 feet long.what is the length of the slide?

Answers

Answer:

It would be 17 feet.

Step-by-step explanation:

So to do this, there is a right triangle being made with the height of the water slide and its base (length). With this, the Pythagorean Theorem can be used to find the hypotenuse of these lengths by the equation:

a^2 + b^2 = c^2

So by plugging in the given legs of the triangle, the answer can be found.

15^2 + 8^2 = c^2

225 + 64 = c^2

289 = c^2

c = 17

answer quickly please both of them

Answers

Answer:

answer 10 32.78

anawer 11 12

Someone please help me out!!

Answers

Answer:

D 3/4

Step-by-step explanation:

imagine a circle with its center in point A and going through point C.

the radius of that circle is 50 (AC).

remember, tan of an angle is sin/cos of that angle.

now rotate in our imagination that triangle to the right around point A, so that the side AB becomes the bottom base line.

now you see that 30 = sin(A)×radius = sin(A)×50

and 40 = cos(A)×radius = cos(A)×50

so, tan(A) = (sin(A)×50)/(cos(A)×50) = sin(A)/cos(A) = 30/40

= 3/4

I’ll mark you Brainliest!!! Please helppp!!!! Don’t answer with “you can download the answers here” and then the link, that doesn’t work! You just want the points


The value of an investment after t years is given by the function, A (t) = 500 (1 + 0.07t).

Complete the following statement. The initial value of the investment is_____,and the annual simple interest rate is____percent.

For the first blank
A. $500
B. $700

For the second blank
A.50
B.70
C.7
D.0.5
E.0.07

Answers

Answer:

A. $500

C. 7 percent

Step-by-step explanation:

Your problem follows the format of the Simple Interest Formula.

The formula is described as follows: A = P(1 + r*t)

Where P = initial value

r = interest rate as a decimal

t = amount of time.

In your equation of A = 500 ( 1 + 0.07 t )

we can see that 500 represents the P value which is the initial value of the investment.

We can also see that the rate is 0.07. Then converted from a decimal to a percent would be 7 percent.

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