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Find an Equation for the Hyperbola Described (12,−3)\left( \frac { 1 } { 2 } , - 3 \right)

Question 24

Multiple Choice

Find an equation for the hyperbola described.
-Vertices (12,−3) \left( \frac { 1 } { 2 } , - 3 \right) and (−92,−3) ;\left( - \frac { 9 } { 2 } , - 3 \right) ; asymptotes y+3=±65(x+2) y + 3 = \pm \frac { 6 } { 5 } ( x + 2 )


A) (x+2) 29−4(y+3) 225=1\frac { ( x + 2 ) ^ { 2 } } { 9 } - \frac { 4 ( y + 3 ) ^ { 2 } } { 25 } = 1
B) 4(x+2) 225−(y+3) 29=1\frac { 4 ( x + 2 ) ^ { 2 } } { 25 } - \frac { ( y + 3 ) ^ { 2 } } { 9 } = 1
C) (y+3) 29−4(x+2) 225=1\frac { ( y + 3 ) ^ { 2 } } { 9 } - \frac { 4 ( x + 2 ) ^ { 2 } } { 25 } = 1
D) 4(x−2) 225−(y−3) 29=1\frac { 4 ( x - 2 ) ^ { 2 } } { 25 } - \frac { ( y - 3 ) ^ { 2 } } { 9 } = 1

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