Algebra 1

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

Chapter 9 - Quadratic Functions and Equations - 9-1 Quadratic Graphs and Their Properties - Practice and Problem-Solving Exercises: 36

Answer

Option E

Work Step by Step

This quadratic's equation is f(x)=$ax^{2}+c$. Given the equation f(x)=$-x^{2}+2$. The a value is -1 and since it is negative, the graph opens downwards (⋂) Therefore, it has a maximum. We calculate the maximum. Since there is no horizontal translation the maximum y-value is at f(0) f(0)= $-(0)^{2}$ +2 f(0) = +2 The vertex is (0, 2)
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