Solution Found!
Eccentricity-directrix approach Find an equation of the
Chapter 8, Problem 38RE(choose chapter or problem)
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