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kykrilka [37]
3 years ago
10

F(x) = -5x; vertical shrink by a factor of 1/5

Mathematics
1 answer:
tatiyna3 years ago
7 0

In order to vertically stretch a function by a factor k, we have to multiply the function expression by k.

So, in order to stretch the function by a factor of 1/5, we simply have to multiply:

f(x) = -5x \implies g(x) = -5x\cdot\dfrac{1}{5}=-x

So, if we shrink the function -5x by a factor of 1/5, we get the function -x.

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I agree with the answer above
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A basketball player stands near the middle of the court and throws the ball toward the basket.
kompoz [17]

Answer:

A function to represent the height of the ball in terms of its distance from the player's hands is y=\frac{-1}{54}(x-18)^2+12

Step-by-step explanation:

General equation of parabola in vertex form y= a(x-h)^2+k

y represents the height

x represents horizontal distance

(h,k) is the coordinates of vertex of parabola

We are given that The  ball travels to a maximum height of 12 feet when it is a horizontal distance of 18 feet from the player's hands.

So,(h,k)=(18,12)

Substitute the value in equation

y=a(x-18)^2+12  ---1

The ball leaves the player's hands at a height of 6 feet above the ground and the distance at this time is 0

So, y = 6

So,6=a(0-18)^2+12

6=324a+12

-6=324a

\frac{-6}{324}=a

\frac{-1}{54}=a

Substitute the value in 1

So,y=\frac{-1}{54}(x-18)^2+12

Hence a function to represent the height of the ball in terms of its distance from the player's hands is y=\frac{-1}{54}(x-18)^2+12

8 0
4 years ago
PLZZ could someone help me out with this and explain
jenyasd209 [6]

Answer:

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3 0
3 years ago
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Answer:

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Step-by-step explanation:

13-7. 8

--------- = --

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Step-by-step explanation:

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