Ask question

Ask question

All categories

Mandarinka [93]

2 years ago

13

Let f(x)=3/4x2-1 The function g(x) is a vertical stretch of f(x) by a factor of 8.What is the equation of g(x)?

1 answer:

mote1985 [20]2 years ago

3 0

Answer:

g(x) = 6x^2-1

Step-by-step explanation:

f(x)=3/4x^2 −1.

A vertical stretch by a factor of 8 you multiply the number with x by the factor:

3/4 x 8 = 6

g(x) = 6x^2-1

You might be interested in

Sandra wants to make gift baskets. She needs 1.3 pounds of flour to make cupcakes and 1.7 pounds of flour to make pies. About ho

Katarina [22]

Answer:

18 pounds of flour

Step-by-step explanation:

Add your wright of flout, 1.3+1.7, getting 3lbs. Then multiply 3 by 6 because thats the number of baskets. Getting 18lbs. of flour

5 0

3 years ago

Plot the image of D under a dilation about the origin (0,0) with a scale factor of 2

ElenaW [278]

(-6,-4)

If you dilate a point, (c,d) about (a,b) by a scale factor by k. You'll going to subtract each coordinates where the point will be dilated about (a,b) from the point (c,d) and then multiply them by k. This would be the formula if you want: (k(c -a), k(b -d))

Let's say F is the dilation of D about the origin or (0,0) then the x coordinate of F would be

$x = 2( - 3 - 0) \\ x = 2( - 3) \\ x = - 6$

This would be the y coordinate of F:

$y = 2( - 2 - 0) \\ y = 2( - 2) \\ y = - 4$

Thus the coordinates of F is (-6,-4)

4 0

3 years ago

Cai is buying a fruit smoothie from the grocery store and wants the best deal, order the prices from the best to worst deal. (in

snow_tiger [21]

Answer:

Best Fruit, Smooth and Tasty, True Smooth, Healthy Smoothie

Step-by-step explanation:

#1 =0.101 -Best Fruit

#4 =0.24 -Healthy Smoothie

#2 =0.161 -Smooth and Tasty

#3 =0.164 -True Smooth

To get my answer, I divided the price by the number of ounces for each smoothie. This would give you the price of each ounce.

6 0

3 years ago

Help please explain

MatroZZZ [7]

Given:

$\sin^{-1}\left(\dfrac{5}{8}\right)=A$

To find:

The correct equivalent equation.

Solution:

We have,

$\sin^{-1}\left(\dfrac{5}{8}\right)=A$

Taking sin on both sides, we get

$\sin \sin^{-1}\left(\dfrac{5}{8}\right)=\sin A$

$\dfrac{5}{8}=\sin A$ $[\because \sin (\sin^{-1}\theta )=\theta]$

Interchanging the sides, we get

$\sin A=\dfrac{5}{8}$

Therefore, the correct option is 4.

8 0

3 years ago

If a 40-foot tree casts a 12-foot shadow, find the length of the shadow cast by a 26 dash foot tree?

Sveta_85 [38]

Answer:

7.8 feet

Step-by-step explanation:

The shadow, the ground and the distance between the top of the tree and end of the shadow form 2 right-angled triangles which are similar.

So corresponding sides are in the same ratio. Therefore:-

40 / 12 = 26/x where x is the length of shadow cast by the smaller tree.

40x = 12*26

x = (12*26) / 40

= 7.8 feet

6 0

3 years ago