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11.4. Hyperbola

11.4. Hyperbola - Asymptotes Other Points 7(y – 3 2 –(x...

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11.4: The Hyperbola Equations, given center (h, k), a = distance from center to vertex, c = distance from center to either focus, b 2 = c 2 – a 2 , and transverse axis equal or parallel to: ( 29 ( 29 ( 29 ( 29 2 2 2 2 2 2 2 2 [1] : 1, : [2] : 1, : x h y k b x axis oblique asymptote y x a b a y k x h a y axis oblique asymptote y x a b b - - - - = = ± - - - - = = ± Find an equation for the hyperbola described.  Graph each equation. 1.  (h, k) = (0, 0); F 1  = (0, 5); V 1  = (0, 3) 2.  V 1,2  = ( ± 4, 0); Asymptote: y = 2x Write an equation for each hyperbola: 3. y =  ± 3x 4. y =  1 / 3 x

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Find and discuss the equation and graph the following hyperbolas with foci & asymptotes: 5. y 2  – 4x 2  = 16 6.  Center: (1, 4); focus: (-2, 4); V 1  = (0, 4) Equation Center Transverse Axis a, b, c Vertices Foci Asymptotes

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Unformatted text preview: Asymptotes Other Points 7. (y – 3) 2 – (x + 2) 2 = 4 8. x 2 - 3y 2 + 8x – 6y + 4 = 0 Equation Center Transverse Axis a, b, c Vertices Foci Asymptotes Other Points TRY THESE (1 1.4) Page 802-803 (8 th ed.)/765-766 (7 th ed.): 26/14. Find an equation & graph: Foci (0, -2) and (0, 2); asymptote: y = -x 38/26. Write an equation for the hyperbola in Graph 26: 58/46. Find and discuss the equation and graph the following hyperbolas with foci & asymptotes: 2y 2 – x 2 + 2x + 8y + 3 = 0 Equation Center Transverse Axis a, b, c Vertices Foci Asymptotes Other Points...
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