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 - 9-1 Quadratic Graphs and Their Properties - Practice and Problem-Solving Exercises: 31

Answer

Domain: All Real Numbers Range: $y\leq-9$

Work Step by Step

For a parabola, the domain is almost always all real numbers. Here, the y value of the vertex is -9. Because of the -3/4 in from of the $x^2$, the vertex is the maximum value. Thus, the range includes all values less than the y value of the vertex.
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