Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

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

Answer

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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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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