Which of the following could be f(x)?

f(x) = -2x² + 2

Step-by-step explanation:

If you remember the y = x² parent graph, you will be able to derive your equation from visualization.

The vertex of this graph would be at (0, 2), so your degree coefficient would be negative. Your y-intercept would also be at (0, 2). Since both 1 and -1 are included, you can tell it is a parabola, and hence the 3rd option is your answer.