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Graph the ellipse given by each equation. Find center, foci (focus), vertices, co-vertices. a) 4x² + y² – 64x – 12 y+ 276 = 0 b) x² + 25y² – 12x – 100y+111= 0 Example: Graph the ellipse given by each equation. (x+2)². +Y= 1 9 49 1. SOLUTION: The ellipse is in standard form, where h =-2, k = 0, a = \49 or 7, b = /9 or 3, and c = /40 or about 6.3. The %3D orientation is vertical because the y-term contains a“. center: (h, k) = (-2, 0) foci: (h, k ± c) =(-2, 6.3) and (–2, –6.3) vertices: (h, k ± a)= (-2, 7) and (-2, –7) covertices: (h ± b, k) = (1, 0) and (–5, 0) Graph the center, vertices, foci, and axes. Then use a table of values to sketch the ellipse. (x+ 2)2 + 一1 8x

Graph the ellipse given by each equation. Find center, foci (focus), vertices, co-vertices. a) 4x² + y² – 64x – 12 y+ 276 = 0 b) x² + 25y² – 12x – 100y+111= 0 Example: Graph the ellipse given by each equation. (x+2)². +Y= 1 9 49 1. SOLUTION: The ellipse is in standard form, where h =-2, k = 0, a = \49 or 7, b = /9 or 3, and c = /40 or about 6.3. The %3D orientation is vertical because the y-term contains a“. center: (h, k) = (-2, 0) foci: (h, k ± c) =(-2, 6.3) and (–2, –6.3) vertices: (h, k ± a)= (-2, 7) and (-2, –7) covertices: (h ± b, k) = (1, 0) and (–5, 0) Graph the center, vertices, foci, and axes. Then use a table of values to sketch the ellipse. (x+ 2)2 + 一1 8x

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Graph the ellipse given by each equation. Find center, foci (focus), vertices, co-vertices. a) 4x + y – 64x – 12 y+ 276 = 0 b) x² + 25y² – 12x – 100y+111= 0 Example: Graph the ellipse given by each equation. 1. (x+2)* + ¥¨ = 1 12 49 SOLUTION: The ellipse is in standard form, where h =-2, k = 0, a = V49 or 7, b = /9 or 3, and c = |40 or about 6.3. The orientation is vertical because the y-term contains a´. center: (h, k) =(-2,0) foci: (h, k ± c) = (-2, 6.3) and (–2, -6.3) vertices: (h, k ± a)= (-2, 7) and (-2, –7) covertices: (h + b, k)= (1,0) and (-5, 0) Graph the center, vertices, foci, and axes. Then use a table of values to sketch the ellipse. (x+2)2 = 1 49 -4A 8х
Transcribed Image Text:Graph the ellipse given by each equation. Find center, foci (focus), vertices, co-vertices. a) 4x + y – 64x – 12 y+ 276 = 0 b) x² + 25y² – 12x – 100y+111= 0 Example: Graph the ellipse given by each equation. 1. (x+2)* + ¥¨ = 1 12 49 SOLUTION: The ellipse is in standard form, where h =-2, k = 0, a = V49 or 7, b = /9 or 3, and c = |40 or about 6.3. The orientation is vertical because the y-term contains a´. center: (h, k) =(-2,0) foci: (h, k ± c) = (-2, 6.3) and (–2, -6.3) vertices: (h, k ± a)= (-2, 7) and (-2, –7) covertices: (h + b, k)= (1,0) and (-5, 0) Graph the center, vertices, foci, and axes. Then use a table of values to sketch the ellipse. (x+2)2 = 1 49 -4A 8х
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