Question

The functions x) and g(x) are shown on the graph.f(x) = x2What is g(x)?​

Answer 1

Answer:

C. g(x) = 4x²  

Step-by-step 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).