Question

Find the vertices of the hyperbola with equation: ((x-1)^2/4) - ((y+2)^2/9) = 1?

Answer 1

I see that the center is (1,-2)
I see that this hyperbola opens to the right and the left since x is positive
I see that the a value is 3 which means that the vertices are 3 units to the right and 3 units to the left of the center.
What point is 3 units to the right of (1,-2)?
What point is 3 units to the left of (1,-2)?
Those points are the vertices.