# How do you graph #y^2/100-x^2/75=1# and identify the foci and asympototes?

##### 1 Answer

Nov 11, 2016

The foci are F

The asymptotes are

#### Explanation:

This is an up-down hyperbola.

The general equation is

The center is

To determine the foci, we calculate

The foci are F

The vertices are

The slopes of the asymptotes are

The equations of the asymptotes are

graph{((y^2/100)-(x^2/75)-1)(y-(2x/sqrt3))(y+(2x/sqrt3))=0 [-74, 74.1, -37.07, 37.06]}