# How do you write the equation for a hyperbola given vertices (0,-4) and (0,4), conjugate axis of lengths 14 units?

##### 1 Answer

Jun 30, 2017

Equation of hyperbola is

#### Explanation:

As the vertices are

As both vertices are equidistant from origin, center of hyperbola is

Further as length of conjugate axis is

and hence equation of hyperbola is

graph{y^2/16-x^2/49=1 [-20, 20, -10, 10]}