The graph of f(x), shown below, resembles the graph of g(x)=x^2, but it has been changed somewhat. which of the following could be the equation of f(x)?

Choice A. .

Step-by-step explanation:

Both F(x) and G(x) are quadratic equations. The graphs of the two functions are known as parabolas. All four choices for the equation of F(x) are written in their vertex form. That is:

,

where

The point is the vertex of the parabola, andThe value of determines the width and the direction of the opening of the parabola. means that the parabola opens upward. means that the parabola opens downwards. The opening becomes narrower if the value of increases.

For the parabola G(x),

the vertex is at the point , andthe parabola opens downwards.

In other words,

,, and.

Hence choice A. .

Cbecause they are equal so that means it is the same on both sides? ! hope this