   Chapter 7.CR, Problem 34CR Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

Sketch the parabola that has directrix d and focus F . To determine

To sketch:

The parabola that has directrix d and focus F.

Explanation

Approach:

A parabola is the locus of points that are equidistant t from a fixed line and a fixed point not on that line.

Given:

Draw FAd at point A. Note that FA is the axis of symmetry of the parabola. Locate the midpoint of FA, which is also the vertex V of the parabola.

Through F, draw a line parallel to d. With a compass, measure the distance FA and mark off arcs of that length on the parallel line (on both sides of F)

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