3 years ago

I

Mathematics

1 answer:

Kipish [7]3 years ago

7 0

Answer: y=-3x+27

Step-by-step explanation:

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Given the parent function f(x) = x^2 describe the translation of the function y=(.2x)^2?

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Answer:

Option C.

Step-by-step explanation:

Let $f(x) = x ^ 2$ be a quadratic function

Then we do the function $y = f(bx) = (bx) ^ 2$

Where b is a real number.

If $b> 1$ then the function $y = (bx) ^ 2$ represents a horizontal compression of the function $y = x ^ 2$

If $0$ Then the function $y = (bx) ^ 2$ represents a horizontal expansion compression of the function $y = x ^ 2$ by a factor of $\frac{1}{b}$

In this case, the equation is:

$y = (0.2x) ^ 2$ Then:

$b = 0.2$

$0$

Thus

$y = (0.2x) ^ 2$ is a horizontal expansion of the function $y = x ^ 2$ by a factor of $\frac{1}{0.2} = 5$ .

The correct option is: Option C

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Step-by-step explanation:

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