hyperbola

Question

Find the vertices and foci of the hyperbola with equation. 

Answer 1

The hyperbola equation

Rewrite it as

x term is positive , the hyperbola is horizontal.

Compare it to standard form of horizontal hyperbola

Where center (h,k) ,Vertices are (h+a, k)(h-a, k) and Foci (h-c,k)(h+c,k)

In this case