Question

The function f(x) = x? has been transformed, resulting in function g.

Answer 1

Function g is a vertical compression of function f

g(x) = (1/4)·x²

The transformation of the function f to get the function g is as follows;

The coordinate points on the function g(x) are; (-4, 4), (-2, 1), (0, 0), (2, 1), and (4, 4)

The coordinate points on the function f(x) are; (-4, 16), (-2, 4), (0, 0), (2, 4), and (4, 16)

Therefore, the y-value function g(x) is (1/4) of the corresponding y-value on the function f(x), therefore, the transformation of the function f(x) to get the function g(x) is a vertical compression by a factor of (1/4)

g(x) = (1/4) × x²