Algebra 1

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

Chapter 4 - An Introduction to Functions - 4-4 Graphing a Function Rule - Practice and Problem-Solving Exercises: 29

Answer

Graph for $y=-2x^{2}$ :
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Work Step by Step

The graph of $y=x^{2}$ is graphed below and it is a parabola. To graph the function $y=-2x^{2}$ we need to vertically stretch the graph by a factor of two and vertically reflect it as the function has a negative sign. To graph we multiply each y-value by -2 while keeping the x-value same. So for example, the point (1,1) of function $y=x^{2}$ becomes (1,-2) for the function $y=-2x^{2}$ as the y-value is multiplied by negative two.
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