Match the equation of a hyperbola with its description.
-$$\frac { ( y - 3 ) ^ { 2 } } { 36 } - \frac { ( x - 1 ) ^ { 2 } } { 64 } = 1$$
A) center $( - 1 , - 3 )$; horizontal transverse axis
B) center $( - 3 , - 1 )$; horizontal transverse axis
C) center $( 1,3 )$; vertical transverse axis
D) center $( 3,1 )$; vertical transverse axis

Question

Quizplus · Accepted Answer

The equation is in the form $\frac{(y-k)^2}{a^2} - \frac{(x-h)^2}{b^2} = 1$, indicating a hyperbola centered at $(h, k) = (1, 3)$ with a vertical transverse axis because the $y$-term is positive and comes first.

Match the Equation of a Hyperbola with Its Description (y−3)236−(x−1)264=1\frac { ( y - 3 ) ^ { 2 } } { 36 } - \frac { ( x - 1 ) ^ { 2 } } { 64 } = 136(y−3)2​−64(x−1)2​=1

Match the Equation of a Hyperbola with Its Description $\frac { ( y - 3 ) ^ { 2 } } { 36 } - \frac { ( x - 1 ) ^ { 2 } } { 64 } = 1$