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: 12

Answer

The graph and table are shown below:
1516400996

Work Step by Step

To graph the given equation we calculate the domain and range and plot the points. We calculate the range for the values x= -2, -1 0, 1, 2 $y= 3x^{2}$ x=-2 $y= 3(-2)^{2}$ $y= 3(-2)(-2)$ $y= 12$ x=-1 $y= 3(-1)^{2}$ $y= 3(-1)(-1)$ $y= 3$ x=0 $y= 3(0)^{2}$ $y= 3(0)(0)$ $y= 0$ x=1 $y= 3(1)^{2}$ $y= 3(1)(1)$ $y= 3$ x=2 $y= 3(2)^{2}$ $y= 3(2)(2)$ $y= 12$ (-2,12) (-1,3) (0,0) (1,3) (2, 12) We plot the points and connect the graph to get the final graph
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