Question

The graph of F(x), shown below, resembles the graph of G(x) = x2, but it has

Answer 1

Answer:F(x)=-x2-3

Step-by-step explanation:We are given a function:

The graph of  is also shown in the given question figure.

It is a parabola with vertex at (0,0).

Sign of  is positive, that is why the parabola opens up.

General equation of parabola is given as:

Here, in G(x), a = 1

Vertex (h,k) is (0,0).

As seen from the question figure,

The graph of F(x) opens down that is why it will have:

Sign of  as negative. i.e.

And vertex is at (0,-3)

Putting the values of a and vertex coordinates,

Hence, the equation of parabola will become: