   Chapter 7.1, Problem 26E 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

Note: Exercises preceded by an asterisk are of a more challenging nature.For Exercises 23 to 28, use the grid and your compass (as needed) to locate several points on the parabola having the given focus F and directrix d . Then sketch the parabola that is characterized by these points. To determine

To sketch:

The parabola using the below given grid with directrix and focus.

Explanation

Definition:

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

The fixed point is known as focus of the parabola and the fixed line is known as directrix of the parabola.

Calculation:

Draw the given directrix d and focus F.

Draw a line parallel to the directrix and passing through the point F.

Draw a perpendicular line to the directrix and passing through F and then locate the mid-point P1.

The point P1 will be the vertex.

Draw a line through P1 parallel to the directrix and locate the point D1 on the directrix.

Locate the points P2, and P3 along the line parallel to the directrix passing through F such that the distance FD1=FP2=FP3

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