Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 4 - Quadratic Functions - 4.3 Finding Quadratic Models - 4.3 Exercises - Page 331: 12

Answer

$f(x) =-(x+3)^2+25$

Work Step by Step

Rewrite the given equation of the parabola so that it looks exactly like the general standard vertex form, $ f(x) = a(x-h)^2+k$ $$\begin{aligned} f(x) &= -(x+3)^2\\ &= -(x+3)^2-0 \ ,\ h = 0\\ \end{aligned}$$ The best eyeball fit to the data can be found by setting the constant $h= 25$. Hence, we have $f(x) =-(x+3)^2+25 $ as the best eyeball fit to the data.
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