Stitz-Zeager_College_Algebra_e-book

We get 5x 6 21 which gives x 3 our answer is 3 1 2 at

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Unformatted text preview: 4 x −3 −2 −1 1 −1 −2 x −2 −3 2 −1 −3 Since we moved farther in the y direction than in the x direction, the major axis will lie along the vertical line x = −1, which means the minor axis lies along the horizontal line, y = 2. The vertices are the points on the ellipse which lie along the major axis so in this case, they are the points (−1, 7) and (−1, −3). (Notice √ these are two of the points we plotted when drawing the that √ ellipse.) To find the foci, we find c = 25 − 9 = 16 = 4, which means the foci lie 4 units from the center. Since the major axis is vertical, the foci lie 4 units above and below the center, at (−1, −2) and (−1, 6). Plotting all this information gives the graph seen above on the right. Example 7.4.2. Find the equation of the ellipse with foci (2, 1) and (4, 1) and vertex (0, 1). Solution. Plotting the data given to us, we have y 1 1 2 3 4 5 x From this sketch, we know that the major axis is horizontal, meaning a > b. Since the center is the midpoint of the foci, we know it is (3, 1). Since one vertex is (0, 1) we have that a = 3, s...
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This note was uploaded on 05/03/2013 for the course MATH Algebra taught by Professor Wong during the Fall '13 term at Chicago Academy High School.

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