Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 3 - Linear and Quadratic Functions - 3.3 Quadratic Functions and Their Properties - 3.3 Assess Your Understanding - Page 145: 8



Work Step by Step

We can disregard the rest of the equation and only look at the $2x^2$ at the start of the equation. In a quadratic function $f(x) = ax^2 + bx + c$, if $a \gt 0$, then the parabola opens up. However, if $a \lt 0$, then the parabola opens down. In this case, $a=2$ thus, the parabola opens up.
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