Question

F(x)=x^2 what is g(x)

Answer 1

The answer is C. g(x) = (4x)^2

We can see the transformation applied to the function is a compression which means:

g(x) = f(c•x) , c > 1

We can find c using the point in the graphic of g(x), (1, 16)

so we can replace x=1 and g(x) = 16
g(x) = f(c•x)
g(x) = (c•x)^2
16 = (c•1)^2
16 = c^2
√16 = c
4 = c

Then we can replace c in the formula
g(x) = (4x)^2