Practice Quiz 10.1-10.3 Solutions

Practice Quiz 10.1-10.3 Solutions - 5 1 28 25 8 4 2 2 = y x...

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Practice Quiz (10.1-10.3) Name: ______________________ Math 115-007 December 3, 2009 Find the vertex, focus, and directrix of the following parabolas. 1. x x y 6 2 + = 9 ) 3 ( 3 ) 3 ( 6 2 2 2 2 - + = - + + = x y x x y Vertex: (–3, –9) Focus: (–3, –9 + 4 1 ) Directrix: y = –9 – 4 1 2. 3 ) 2 ( 3 2 + - - = x y Vertex: (2, 3) Focus: (2, 3 + ) ) 4 ( 3 1 - Directrix: y = 3 – ) 4 ( 3 1 - Find the Center and two Focus points of each ellipse below. 3. 1 25 ) 1 ( 9 ) 1 ( 2 2 = + + + y x Center: (– 1, – 1) Foci: (– 1, – 1 + 4) and (– 1, – 1 – 4) c c c c b a = = + = + = 4 16 9 25 2 2 2 2 2
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Practice Quiz (10.1-10.3) Name: ______________________ Math 115-007 December 3, 2009 4. 1 19 ) 2 ( 23 ) 7 ( 2 2 = + + - y x Center: (7, – 2) Foci: (7 + 2, – 2) and (7 – 2, – 2) c c c c b a = = + = + = 2 4 19 23 2 2 2 2 2 Find the Center, two Focus points, and two Asymptotes for each hyperbola below.
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Unformatted text preview: 5. 1 28 ) 25 ( 8 ) 4 ( 2 2 =--+ y x Center: (– 4, 25) Foci: (–4 + 6, 25) and (– 4 – 6, 25) c c c c b a = = = + = + 6 36 28 8 2 2 2 2 2 The asymptotes pass through the center (– 4, 25) and have slope 2 7 8 28 ± = ± = ± a b ) 4 ( 2 7 25 + =-x y and ) 4 ( 2 7 25 +-=-x y 6. 1 11 14 ) 1 ( 2 2 =-+ x y Center: (0, – 1) Foci: (0, – 1 + 5) and (0, –1 – 5) c c c c b a = = = + = + 5 25 11 14 2 2 2 2 2 The asymptotes pass through the center (0, – 1) and have slope 11 14 ± = ± b a x y 11 14 1 = + and x y 11 14 1-= +...
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This note was uploaded on 03/04/2012 for the course MATH 115 taught by Professor Ms.park during the Fall '09 term at South Carolina.

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Practice Quiz 10.1-10.3 Solutions - 5 1 28 25 8 4 2 2 = y x...

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