Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.9 - The Coordinate Plane; Graphs of Equations; Circles - 1.9 Exercises: 7

Answer

A) $(a,-b)$ B) $(-a,b)$ C) $(-a,-b)$

Work Step by Step

A) If a graph is symmetric with respect to the x-axis and (a,b) is on the graph, then (___, ___) is also on the graph. = In this case symmetric means that the point are reflectd thorugh the x-axis. Which means that the x coordinate doesn’t change but the y does so it would become negative. $$Answer: (a, -b)$$ B) If a graph is symmetric with respect to the y-axis and (a,b) is on the graph, then (___,___) is also on the graph. =In this case the reflection is over the y axis so the y coordinate stays the same but the x coordinate changes to be negative. $$Answer: (-a, b)$$ C) If a graph is symmetric about the origing and (a, b) is on the graph, then (___,___) is also on the graph. =In this case when it reflects on the origin both coordinates change to negative. $$Answer: (-a,-b)$$
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