Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 8 - Section 8.6 - Further Graphing of Quadratic Functions - Exercise Set - Page 527: 85

Answer

1.43

Work Step by Step

The minimum or maximum value of a function is the y-value of the vertex. The x-value of the vertex is $-b/2a$. $f(x)=-1.9x^2+5.6x-2.7$ $a=-1.9$, $b=5.6$, $c=-2.7$ $x=-b/2a$ $x=-5.6/2*-1.9$ $x=-5.6/-3.8$ $x=1.47$ $f(x)=-1.9x^2+5.6x-2.7$ $f(1.47)=-1.9(1.47^2)+5.6(1.47)-2.7$ $f(1.47)=-1.9*2.1609+8.232-2.7$ $f(1.47)=-4.10571+5.532$ $f(1.47)=1.42629$ $f(1.47)=1.43$
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