Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 7 - Section 7.1 - Locus of Points - Exercises - Page 329: 20

Answer

As the book states, these points form a parabola.

Work Step by Step

Recall, a locus is equidistant from either line no matter where you are. Therefore, first construct the original line and point. Then, draw the parabola (which is red in the diagram) that is the same distance from the line and point at all points.
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