Question

The graph of f(x) shown below

Answer 1

C

Explanation:

the "-" sign can't be true, because that would have turned the whole graph of x² upside-down. but it is not.

so, we need a positive sign for the x term.

and the whole graph is shifted to the right. so the functional value of x of F(x) is now the same that happened "earlier" (for smaller x) with G(x). so, the argument "x" is now reduced (by 3 units, as the graph is shifted right by 3 units) in the calculation compared to the original G(x) calculation.

therefore, the ...(x-3)... expression is right.

so, positive sign and "(x-3)" is only in C.