Find the Center, Transverse Axis, Vertices, Foci, and Asymptotes of the Hyperbola

question 1

Multiple Choice

Find the center, transverse axis, vertices, foci, and asymptotes of the hyperbola.
- $$\frac { x ^ { 2 } } { 36 } - \frac { y ^ { 2 } } { 4 } = 1$$

• A) center at \(( 0,0 )\)
• transverse axis is \(x\)-axis
• vertices at \(( - 11,0 )\) and \(( 11,0 )\)
• foci at \(( - \sqrt { 137 } , 0 )\) and \(( \sqrt { 137 } , 0 )\)
• asymptotes of \(y = - \frac { 11 } { 4 }\) and \(y = \frac { 11 } { 4 }\)
• B) center at \(( 0,0 )\)
• transverse axis is \(\mathrm { y }\)-axis
• vertices at \(( 0 , - 4 )\) and \(( 0,4 )\)
• foci at \(( - \sqrt { 137 } , 0 )\) and \(( \sqrt { 137 } , 0 )\)
• asymptotes of \(y = - \frac { 11 } { 4 }\) and \(y = \frac { 11 } { 4 }\)
• C) center at \(( 0,0 )\)
• transverse axis is \(\mathrm { x }\)-axis
• vertices at \(( - 4,0 )\) and \(( 4,0 )\)
• foci at \(( - 11,0 )\) and \(( 11,0 )\)
• asymptotes of \(y = - \frac { 11 } { 4 }\) and \(y = \frac { 11 } { 4 }\)
• D) center at \(( 0,0 )\)
• transverse axis is \(x\)-axis
• vertices at \(( - 4,0 )\) and \(( 4,0 )\)
• foci at \(( - \sqrt { 137 } , 0 )\) and \(( \sqrt { 137 } , 0 )\)
• asymptotes of \(y = - \frac { 11 } { 4 }\) and \(y = \frac { 11 } { 4 }\)

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