Hyperbolas help! What are the center, vertices, and foci...?

Question

Of the hyperbola with equation (x+1)^2/9 - (y+2)^2/25 =1 ?

Thank you so much!!!!!

Answer 1

The standard form of hyperbola is .

The equation of hyperbola is .

So, the center of hyperbola is and a = 3, b = 5.

The vertices are .

The relation between a, b and c is for hyperbola.

                              (Substitute )

                               (Simplify)

The foci of hyperbola are .

The center of hyperbola is , vertices are and its foci are

.