Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 11 - Group Activity - Recognizing Linear and Quadratic Models - Page 824: 4

Answer

$f(2)=-60777*(x-2)^2+262467$

Work Step by Step

$(2,262467)$ $y=ax^2+bx+c$ $f(2)=a*(x-h)^2+k$ $262467=a(2-2)^2+262467$ $262467=a*0^2+262467$ $262467-262467=a*0^2+262467-262467$ $0=a*0^2$ $0=a*0$ $0=0$ $(3,201690)$ $y=ax^2+bx+c$ $f(3)=a*(x-2)^2+262467$ $f(3)=a*(3-2)^2+262467$ $f(3)=a*(1)^2+262467$ $f(3)=a+262467$ $201690=a+262467$ $201690-262467=a+262467-262467$ $-60777=a$ $f(2)=-60777*(x-2)^2+262467$
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