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Determine Asymptotes and Key Features for Hyperbolas
Worksheet
Grade Level
Pre-Calculus
Pre-CAL.118 Determine Asymptotes and Key Features for Hyperbolas
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Which feature package matches the hyperbola -9x
2
- 72x + 25y
2
+ 250y + 256 = 0?
A
center (-4, -5); opens up and down; vertices (-4, -10) and (-4, 0); asymptotes y + 5 = (5/3)(x + 4) and y + 5 = -(5/3)(x + 4)
B
center (4, 5); opens up and down; vertices (4, 2) and (4, 8); asymptotes y - 5 = (3/5)(x - 4) and y - 5 = -(3/5)(x - 4)
C
center (-4, -5); opens up and down; vertices (-4, -8) and (-4, -2); asymptotes y + 5 = (3/5)(x + 4) and y + 5 = -(3/5)(x + 4)
D
center (-4, -5); opens left and right; vertices (-7, -5) and (-1, -5); asymptotes y + 5 = (5/3)(x + 4) and y + 5 = -(5/3)(x + 4)
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