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 - Page 538: 19


Widest to narrowest: $f(x) = -\frac{2}{3}x^2$ $f(x) = -2x^{2}$ $f(x) = -4x^{2}$

Work Step by Step

If the coefficient of the function is greater than 1 or less than -1, the graph is more narrow, due to a vertical stretch. However, if the coefficient of the graph is between -1 and 1, the graph is wider, because of a vertical compression. Therefore, if the coefficient is larger, the graph is more narrow. If there coefficient is smaller, the graph is wider.
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