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4. Graph the ellipse and identify the center, vertices and foci. 21 4(x + 5)2 + 9(y + 6)² = 36 1 2 -1 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 Center: -2 -3 Calculate c: -4 -5 -6 Vertices: -7 Foci: -8 -9

4. Graph the ellipse and identify the center, vertices and foci. 21 4(x + 5)2 + 9(y + 6)² = 36 1 2 -1 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 Center: -2 -3 Calculate c: -4 -5 -6 Vertices: -7 Foci: -8 -9

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 29E
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4. Graph the ellipse and identify the center, vertices and foci. 4(x + 5)2 + 9(y + 6)2 = 36 1 2 -1 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 Center: -2 -3- Calculate c: -4 -5 -6 Vertices: -7 -8 -9 Foci: 10 5. Graph the hyperbola and identify the center, vertices, foci and asymptotes. (x – 5)2 (y – 4)2 1 10 9 25 9 Center: Calculate c: 3 Vertices: Foci: -2 -1 1 2 3 8 9 10 -1 Asymptotes: -2 6. Graph the parabola and find the vertex, focus, directrix and latus rectum points. 10 12(x – 5) = (y + 3)2 8 Vertex: Focus: 2 -10 -8 -6 -4 6. 8 10 -2 2. -2 Directrix: 4. -4 Latus Rectum Points: -6 -8 -10 to 4
Transcribed Image Text:4. Graph the ellipse and identify the center, vertices and foci. 4(x + 5)2 + 9(y + 6)2 = 36 1 2 -1 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 Center: -2 -3- Calculate c: -4 -5 -6 Vertices: -7 -8 -9 Foci: 10 5. Graph the hyperbola and identify the center, vertices, foci and asymptotes. (x – 5)2 (y – 4)2 1 10 9 25 9 Center: Calculate c: 3 Vertices: Foci: -2 -1 1 2 3 8 9 10 -1 Asymptotes: -2 6. Graph the parabola and find the vertex, focus, directrix and latus rectum points. 10 12(x – 5) = (y + 3)2 8 Vertex: Focus: 2 -10 -8 -6 -4 6. 8 10 -2 2. -2 Directrix: 4. -4 Latus Rectum Points: -6 -8 -10 to 4
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