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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

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BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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For Exercises 21 to 26, 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.

Chapter 7.1, Problem 24E, For Exercises 21 to 26, use the grid and your compass as needed to locate several points on the

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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