College Algebra 7th Edition

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

Chapter 2, Functions - Chapter 2 Review - Exercises: 75

Answer

minimum: $(-1,-7)$

Work Step by Step

We are given: $g(x)=2x^{2}+4x-5$ We factor by completing the square: $2(x^{2}+2x)-5$ $2(x^{2}+2x+1)-5-2$ $2(x+1)^{2}-7$ We see that this is a transformed parabola: $x^2$ moved left 1 unit and down 7 units. Thus the minimum would occur at $(-1,-7)$.
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