Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 10 - Quadratic Relations and Conic Sections - Get Ready! - Page 611: 15

Answer

The vertex form: $y=2(x-1)^2+8$

Work Step by Step

The vertex form of a quadratic function is $f(x) = a(x – h)^2 + k$, where $a, h, k$ are constants. The vertex of the parabola is at $(h, k)$ By completing the square $y=2x^2-4x+10$. we get $y=2(x-1)^2+8$ Thus $a=2, h=1, k=8$, Vertex is $(1,8)$.
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