Chapter 5 - Section 5.3 - Polynomials and Polynomial Functions - Exercise Set - Page 280: 89

Graph A

We are given the function $f(x)=3x^{2}-2$. 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 is positive $(3\gt0)$, so the parabola will open upward. Therefore, this function matches graph A.