For Exercises 41–50, write the standard form of the equation of the hyperbola subject to the given conditions. (See Example 5)
Corners of the reference rectangle:
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- Find a or k so that the points (-5,-8) and (1,-25) lie on the parabola y=a(x+3)²+karrow_forward7. Write an equation for each parabola. a) (0, 11) 4 (4, –5) b) YA (-6, 4) 4 (-5,3) -6 -2 0 x c) YA 12 (4,13) 14 +4 (6, –7) -carrow_forwardIn Exercises 17-30, find the standard form of the equation of each parabola satisfying the given conditions. 17. Focus: (7,0); Directrix: x = -7 18. Focus: (9,0); Directrix: x = -9 19. Focus: (-5,0); Directrix: x = 5 20. Focus: (-10, 0); Directrix: x = 10 21. Focus: (0, 15); Directrix: y = -15 22. Focus: (0,20); Directrix: y = -20 23. Focus: (0, –25); Directrix: y = 25 24. Focus: (0, -15); Directrix: y = 15 25. Vertex: (2, -3); Focus: (2, -5) 26. Vertex: (5, -2); Focus: (7, -2) 27. Focus: (3, 2); Directrix: x = -1 28. Focus: (2, 4); Directrix: x = -4 29. Focus: (-3, 4); Directrix: y = 2 30. Focus: (7, –1); Directrix: y = -9arrow_forward
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