How do i find the center of this equation: (y^2)/(4) - (x^2)/(9)=1?

Question

also how do you find the x and y radius and the x and y int. Thank you, much appricated.

Answer 1

This is a hyperbola centered at the origin. The y intercepts are the vertices:
x = 0:
y^2 = 4
y = +/- 2
y intercepts are at (0, 2) and (0, -2)
It has no x intercepts.
It has two asymptotes which are the lines:
y = (3/2)x and y = (-3/2)x
The foci are at :
√(2^2 + 3^2) = +/- 5
(0, 5) and (0, -5)