Question

The graph of F(x), shown below, has the same shape as the graph of G(x) = 3x2, but it is shifted down 4 units. What is its equation?

Answer 1

Shifting down 4 means you are taking away 4.
F(x) = g(x) - 4 = 3x^2 - 4

Answer 2

C is correct. The equation of F(x) would be 3x²-4

Explanation

We are given a graph of G(x)=3x²

The graph of F(x) is same as graph of G(x) but it shifted down 4 units.

As we know when graph shift down or up. It would be vertical shift. So, It will change in the value of y.

If graph shift 4 unit down then the value of y decrease by 4.

If y=f(x) and shift a unit down then new graph would be y=f(x)-a.

Likewise, G(x)=3x²

We get F(x) if shift 4 unit down G(x)

Therefore, F(x)=3x²-4

Thus, The equation of F(x) would be 3x²-4