Find the Standard-Form Equation of the Hyperbola Centered at the Origin

question 36

Multiple Choice

Find the standard-form equation of the hyperbola centered at the origin which satisfies the given conditions.
-Vertices at (2, 0) and (-2, 0) ; foci at (4, 0) and (-4, 0)

• A) \(\frac { x ^ { 2 } } { 16 } - \frac { y ^ { 2 } } { 4 } = 1\)
• B) \(\frac { x ^ { 2 } } { 4 } - \frac { y ^ { 2 } } { 12 } = 1\)
• C) \(\frac { x ^ { 2 } } { 4 } - \frac { y ^ { 2 } } { 16 } = 1\)
• D) \(\frac { x ^ { 2 } } { 12 } - \frac { y ^ { 2 } } { 4 } = 1\)

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