Find the Standard Form of the Equation of the Hyperbola $\frac { 4 } { 5 }$

question 20

Multiple Choice

Find the standard form of the equation of the hyperbola with the given characteristics. vertices: (-10,-2) , (0,-2)
Asymptotes: y = ± $\frac { 4 } { 5 }$ x
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• A) \(\frac { ( x + 5 ) ^ { 2 } } { 25 } - \frac { ( y + 2 ) ^ { 2 } } { 16 } = 0\)
• B) \(\frac { ( x + 5 ) ^ { 2 } } { 25 } + \frac { ( y + 2 ) ^ { 2 } } { 16 } = 1\)
• C) \(\frac { ( y + 5 ) ^ { 2 } } { 25 } - \frac { ( x + 2 ) ^ { 2 } } { 16 } = 1\)
• D) \(\frac { ( y - 2 ) ^ { 2 } } { 25 } - \frac { ( x + 2 ) ^ { 2 } } { 16 } = 1\)
• E) \(\frac { ( x + 5 ) ^ { 2 } } { 25 } - \frac { ( y + 2 ) ^ { 2 } } { 16 } = 1\)

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