Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 3 - Review - Exercises - Page 320: 2

Answer

$f(x)=2(x-2)^{2}-4$

Work Step by Step

The standard form of a parabola is in the form of $f(x)=a(x-h)^{2}+k$. "a" will be the coefficient of $x^{2}$ which in this case is 2. "h" will be the x-term divided by 2 and "a". Therefore $h = 8/2/2 = 2$. Finally ''k" will be the constant term $-ah^{2}$. Using this k is found to be -4. Therefore the answer is $f(x)=2(x-2)^{2}-4$
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