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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- For Exercises 67–70, identify the equation as representing an ellipse or a hyperbola, and match the equation with the graph. (x – 5)² 67. (y + 2)² = 1 (x – 5)? 68. (y + 2)? = 1 49 36 36 49 (x - 5)? 69. (y + 2)² = 1 (y + 2)² = 1 (x - 5)? 49 36 70. 49 36 А. В. С. D. 15 12 41 6 -6-4-2 4 6 8 10 12 14 4 6 8 10 12 14 -6 -4 2. 4 6 8 10l 12 14 -6 1k 15 18 21 -6arrow_forwardWhich are the foci for the hyperbola modeled by the equation (X-32 (x-1)²-1? 36 13 O (1. 10) and (1,-4) O (3.8) and (3, -8) O (1.9) and (1, -3) O (-6, 0) and (6, 0)arrow_forwardExercises 98–100 will help you prepare for the material covered in the first section of the next chapter. 98. a. Does (-5, –6) satisfy 2x – y = -4? b. Does (-5, -6) satisfy 3x – 5y = 15? 99. Graph y = -x – 1 and 4x – 3y = 24 in the same rectangular coordinate system. At what point do the graphs intersect? 100. Solve: 7x – 2(-2x + 4) = 3.arrow_forward
- 7. 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_forwardWhat is the vertex of the parabola y = (x+3)²-4? A B с D (3,4) (-3,4) (-3,-4) (3,-4)arrow_forwardThe focus of the parabola y? + 8x = 0 has coordinates o (0,-4) (0,4) (-8,0) 0(-2,0)arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageTrigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage Learning