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Eccentricity-directrix approach Find an equation of the

Chapter 8, Problem 38RE

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QUESTION:

Eccentricity-directrix approach Find an equation of the following curves, assuming the center is at the origin. Graph the curve, labeling vertices, foci, asymptotes (if they exist), and directrices.

An ellipse with foci \((\pm 4,0)\) and directrices \(x=\pm 8\)

Questions & Answers

QUESTION:

Eccentricity-directrix approach Find an equation of the following curves, assuming the center is at the origin. Graph the curve, labeling vertices, foci, asymptotes (if they exist), and directrices.

An ellipse with foci \((\pm 4,0)\) and directrices \(x=\pm 8\)

ANSWER:

Solution 38RE

 Given an ellipse with foci (±4, 0) and directrices x = ±8

Step 1:

Find an equation of the following curves, assuming the center is at the origin

The general equation of a ellipse is

The general form of foci is

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