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 - 9-2 Quadratic Functions - Practice and Problem-Solving Exercises - Page 556: 14


Axis of symmetry: x=-2 Vertex: (-2,13)

Work Step by Step

The standard form for a quadratic equation is $y=ax^2+bx+c$ So a= -4, b= -16, and c= -2 Axis of symmetry: The formula for axis of symmetry is x=−b/2a x=−(−16)/2(−4) x=16/−8 x= -2 Vertex: Plug in the x value of the axis of symmetry to find the y value of the vertex. $y=−4x^2−16x−3$ $y=−4(−2)^2−16(−2)−3$ y= -16 + 32 -3 y= 13 The vertex is (-2,13)
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