Question

Function g can be thought of as a scaled version of f(x) = x^2.
Write the equation for g(x).

Answer 1

g(x) = (x/2)^2

Explanation:

if we look at the Y values for each point they remain the same, however the X values change, which tells us that the X variable is being 'tampered' with.

to find the scale factor, we divide 4/2, and we get 2.

so g(x) = (x/2)^2

remember that when applying a scale factor to the X value the effect will be inversed, so we multiply the X value with 1/2. you can use desmos to double check.