Question

the graph of F(x), shown below in pink, has the same shape as the graph of G(x) = x^2, shown in gray. Which of the following is the equation for F(x)?

Answer 1

The correct option is B.

Explanation:

The given function is

`G(x)=x^2`

The gray curve represent the graph of function G(x)

The vertex form of the parabola is

`F(x)=a(x-h)^2+k`

Where, (h,k) is the vertex and a is stretch factor.

From the given graph is clear that the vertex of F(x) is at point (1,-2) and the stretch factor is 1. So, the function F(x) is defined as

`F(x)=(x-1)^2+(-2)`

`F(x)=(x-1)^2-2`

Therefore the correct option is B.