Question

Which of the following quadratic functions have graphs that open upward?

Select all that apply

f(x) = 3x^2 + 1

f(x) = –2x^2 – 3

f(x) = 5x^2 – 3

f(x) = –3x^2 + 2

Answer 1

A quadratic opens upward when its leading coefficient (the x^2 coefficient) is positive.

So the ones that open upward are:
- f(x) = 3x^2 + 1
- f(x) = 5x^2 − 3