Given the parent function f(x) = x2 describe the translation of the function y=(.2x)^2

Option C.

Step-by-step explanation:

Let be a quadratic function

Then we do the function

Where b is a positive real number.

If then the function represents a horizontal compression of the function  

If   Then the function represents a horizontal expansion compression of the function by a factor of

In this case, the equation is:

Then:

.

Thus

is a horizontal expansion of the function by a factor of .

The correct option is: Option C