Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 9 - Quadratic Functions and Equations - 9-5 Completing the Square - Practice and Problem-Solving Exercises - Page 579: 23


vertex: $( -1,-29)$

Work Step by Step

Consider the equation: $y=x^2+2x-28$ ...(1) The standard equation of the parabola is: $y=a(x-h)^2+k$ with vertex$(h,k)$ Consider right side $x^2+2x=28$ To complete the square add $(\frac{b}{2})^2=(\frac{2}{2})^2=1$. $x^2+2x+1=28+1$ $(x+1)^2=29$ Thus, equation (1) becomes: $y=(x+1)^2-29$ Compare it with the standard form of the parabola, we get vertex: $( -1,-29)$
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