Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 3 - Section 3.1 - Quadratic Functions and Models - 3.1 Exercises - Page 251: 2


(a) (h,k) (b) Upward; minimum (c) Downward; maximum

Work Step by Step

For a quadratic function in standard form: f(x) = a(x-h)^2 + k (a) the vertex is always (h,k) (b) If a$\gt$0 this means that the parabola opens UPWARD with the vertex being on the bottom, thus if a$\gt$0 the vertex is the MINIMUM point of the parabola (c) If a$\lt$0 this means the parabola opens DOWNWARD with the vertex on the top, therefore if a$\lt$0 the vertex is the MAXIMUM point of the parabola.
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