Match the equation of a hyperbola with its description.
-$$\frac { ( y - 3 ) ^ { 2 } } { 16 } - \frac { ( x - 1 ) ^ { 2 } } { 81 } = 1$$
A) center (-1, -3); horizontal transverse axis
B) center (-3, -1); horizontal transverse axis
C) center (3, 1); vertical transverse axis
D) center (1, 3); vertical transverse axis

Question

Quizplus · Accepted Answer

The equation of a hyperbola in the form $\frac{(y-k)^2}{a^2} - \frac{(x-h)^2}{b^2} = 1$ has its center at (h, k) and a vertical transverse axis if the $y$-term is positive. Here, the center is (1, 3), indicating a vertical transverse axis.

Match the Equation of a Hyperbola with Its Description (y−3)216−(x−1)281=1\frac { ( y - 3 ) ^ { 2 } } { 16 } - \frac { ( x - 1 ) ^ { 2 } } { 81 } = 116(y−3)2​−81(x−1)2​=1

Match the Equation of a Hyperbola with Its Description $\frac { ( y - 3 ) ^ { 2 } } { 16 } - \frac { ( x - 1 ) ^ { 2 } } { 81 } = 1$