College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 3, Polynomial and Rational Functions - Section 3.1 - Quadratic Functions and Models - 3.1 Exercises: 4

Answer

downward; $2, -6$; $-6$; maximum

Work Step by Step

RECALL: The quadratic function $f(x) = a(x-h)^2+k$ has the following properties: vertex at $(h, k)$ opens downward when $a \lt 0$ and has $f(h)=k$ is its maximum value. The given quadratic function has: $h=2, k=-6$ $a=-3$ Thus, the function has: its vertex at $(2, -6)$; opens downward; $f(2)=-6$ is the maximum value of $f$ Therefore, the missing expressions in the given statement (in order) are: downward; $2, -6$; $-6$; maximum
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