Question

What does g(x) equal for number 4?

Answer 1

G(x) is a quadratic function with a parabolic graph that opens up and has vertex at (0,0).  If we dilate this vertically by a factor of 6, we get h(x) = 6x^2.

If we translate the graph of h(x) 1 unit up and 4 units to the right, we get

k(x) = 6(x-4)^2 + 1.