Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 2 - Linear and Quadratic Functions - Section 2.4 Properties of Quadratic Functions - 2.4 Assess Your Understanding - Page 157: 8

Answer

True.

Work Step by Step

The graph of the quadratic function $f(x) = ax^2+bx+c$ is a parabola that opens: (a) Upward when $a \gt 0$ (b) Downward when $a \lt 0$ We are given that the graph of the quadratic function $f(x) = 2x^2+3x-4$ We can see that this quadratic function has $a=2$, which is positive. This implies that the function $f(x) = 2x^2+3x-4$ is a parabola that opens upward. Thus, the given statement is $\bf{True}$.
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