Chapter 5 - Section 5.3 - Polynomials and Polynomial Functions - Exercise Set - Page 280: 92

Graph C

We are given the function $F(x)=-2x^{2}-6x+2$. The degree of this polynomial is 2, so the function will have the shape of a parabola (like the functions shown in graphs A and C). However, the coefficient on x^{2} is negative $(-2\lt0)$, so the parabola will open downward. Therefore, this function matches graph C.