Question

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

Answer 1

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