Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 3 - Review - Test - Page 323: 1

Answer

$f(x) = (x-1/2)^2 - 25/4$ See graph below.

Work Step by Step

The standard form is $a(x-h)^2 + k$ Given $f(x) = x^2 - x - 6$ Complete the square to convert f(x) to standard form and graph it. $f(x) = x^2 - x + 1/4 - 6 - 1/4$ $f(x) = (x-1/2)^2 - 25/4$ See graph below.
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