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- 1. Multiple ChoiceWhat is the equation describing the relationship between dimensions and foci of a hyperbola?c2 = a2 + b2c2 = a2 - b24p(x-h)2 + (y-k)2 = r2
- 2. Multiple Choice
What is the value of a2 for the given hyperbola?152516 - 3. Multiple ChoiceWhat are the foci of the hyperbola with the equation y²/12 - x²/5 = 1(0, ±√17)(±√17, 0)(0, ±√7)(±√7, 0)
- 4. Multiple ChoiceIs the hyperbola vertical or horizontal?VerticalHorizontal
- 5. Multiple ChoiceWhat are the asymptotes of the hyperbola in the picture?y = x and y = –xy = 2x and y = –2xy = 1/2x and y = –1/2xy = 2x and y = 4x
- 6. Multiple ChoiceWhat are the vertices of the hyperbola?(0, 3) and (0, -3)(-4, 3) and (-4, -3)(0, 1) and (0, -1)(4, 0) and (-4, 0)
- 7. Multiple ChoiceA hyperbola centered at (-3, 2) with a horizontal tranverse axis has asymptotes y = ± ¾x. Which of the following could be the equation of the hyperbola in standard form?(x + 3)2/16 + (y - 2)2/ 9 = 1(x + 3)2/ 4 - (y - 2)2/ 3 = 1(x + 3)2/16 - (y - 2)2/ 9 = 1(x + 3)2/ 9 - (y - 2)2/ 16 = 1
- 8. Multiple ChoiceA hyperbola has vertices (±5, 0) and one focus at (6, 0). What is the equation of the hyperbola in standard form?x²/25 + y²/11 = 1x²/5 - y²/11 = 1x²/11- y²/25 = 1x²/25 - y²/11= 1
- 9. Multiple ChoiceFind the equation of hyperbola.(x - 2)2 / 16 - (y + 3)2 / 20 = 1(x + 3)2 / 16 - (y - 2)2 / 20 = 1(x - 2)2 / 20 - (y + 3)2 / 16 = 1(y + 3)2 / 16 - (x - 2)2 / 20 = 1
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