College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 4 - Section 4.3 - Quadratic Functions and Their Properties - 4.3 Assess Your Understanding: 9



Work Step by Step

RECALL: The coordinates of the vertex of a quadratic function $f(x) = ax^2+bx+c$ are: $\left(\frac{-b}{2a}, f(-\frac{2}{a})\right)$ The given quadratic function has $a=-1, b=4, c=5$. Thus, the coordinates of the function's vertex are: $=\left(-\frac{4}{2\cdot(-1)}, f(-\frac{4}{2\cdot(-1)})\right) \\=\left(-\frac{4}{-2}, f(-(-2)\right) \\=(2, f(2))$ The vertex has a y-coordinate of $f(2)$. Therefore, the given statement is true.
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