# How do you find an equation of the hyperbola with its center at the origin. Vertices (+OR- 3,0); Foci: (+OR- 5,0)?

##### 1 Answer

Aug 4, 2017

#### Explanation:

The equation of the hyperbola with its center at the origin is

As ordinate is common in vertices

Further distance from center to either focii is

Hence equation of hyperbola is

graph{(x^2/9-y^2/16-1)((x-5)^2+y^2-0.01)((x+5)^2+y^2-0.01)((x-3)^2+y^2-0.01)(x^2+y^2-0.01)((x+3)^2+y^2-0.01)=0 [-10, 10, -5, 5]}