Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Appendix D - Graphing Techniques - Exercises - Page 448: 70

Answer

The equation of the graph is $f(x)=−|x| - 2.$

Work Step by Step

As $f(x) = |x|$ is symmetric across the y-axis, the graph shown should have undergone a combination of the transformations of it. Since reflection across the x-axis is noticed, a 'negative' sign is to be multiplied and vertical translation down by 2 units is shown, a value of '2' is to be deducted. Hence, the equation of the graph is $f(x)=−|x| - 2.$
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