Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 9 - Quadratic Functions and Equations - 9-2 Quadratic Functions\ - Practice and Problem-Solving Exercises: 10

Answer

Axis of symmetry: x=4 Vertex: (4,-23)

Work Step by Step

$y = x^{2} - 8x - 7 $ The standard form for a quadratic equation is $y = ax^{2} + bx + c$ So a= 1, b= -8, and c= -7 Axis of symmetry: The formula for axis of symmetry is $x= \frac{-b}{2a}$ $x= \frac{-(-8)}{2(1)}$ $x= \frac{8}{2}$ x=4 Vertex: Plug in the x value of the axis of symmetry to find the y value of the vertex. $y = x^{2} - 8x - 7 $ $y = (4)^{2} - 8(4) - 7 $ y= 16 - 32 - 7 y= -23 The vertex is (4,-23)
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