Question

The functions x) and g(x) are shown on the graph.
f(x) = x2
What is g(x)?​

Answer 1

C. g(x) = 4x²

Explanation:

The general equation for a parabola is

y = ax² + bx +c

Since ƒ(x) = x², a=1, b =0, c =0

For g(x), the vertex is still at the origin, so

g(x) = ax²

The graph passes through (1,4).

Insert the coordinates of the point.

4 = a(1)²

a = 4

g(x) = 4x²

The figure below shows that the graph of g(x) = 4x² passes through the point (1, 4).