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: 9


Axis of symmetry: x=-1 Vertex: (-1,-3)

Work Step by Step

$y=2x^2+4x−1$ The standard form for a quadratic equation is $y=ax^2+bx+c$ So a= 2, b= 4, and c= -1 Axis of symmetry: The formula for axis of symmetry is $x=−b/2a$ $x=−(4)/2(2)$ $x=−4/4$ x=-1 Vertex: Plug in the x value of the axis of symmetry to find the y value of the vertex. $y=2x^2+4x−1$ $y=2(−1)^2+4(−1)−1$ y= 2 - 4 - 1 y= -3 The vertex is (-1,-3)
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