Find the Standard Form of the Equation of the Hyperbola $y = \frac { 5 } { 2 } x , y = - \frac { 5 } { 2 } x$

question 25

Multiple Choice

Find the standard form of the equation of the hyperbola with the given characteristics. vertices: (1,-2) , (5,-2)
Asymptotes: $y = \frac { 5 } { 2 } x , y = - \frac { 5 } { 2 } x$

• A) \(\frac { ( y - 3 ) ^ { 2 } } { 4 } - \frac { ( x + 2 ) ^ { 2 } } { 25 } = 1\)
• B) \(\frac { ( x - 3 ) ^ { 2 } } { 4 } + \frac { ( y + 2 ) ^ { 2 } } { 25 } = 1\)
• C) \(\frac { ( x - 2 ) ^ { 2 } } { 4 } - \frac { ( y + 2 ) ^ { 2 } } { 25 } = 1\)
• D) \(\frac { ( x - 3 ) ^ { 2 } } { 4 } - \frac { ( y + 2 ) ^ { 2 } } { 25 } = 1\)
• E) \(\frac { ( x - 2 ) ^ { 2 } } { 4 } - \frac { ( y + 3 ) ^ { 2 } } { 25 } = 1\)

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