# How do you graph #y^2/4-x^2/2=1# and identify the foci and asympototes?

##### 1 Answer

Hyperbola with transverse axis vertical

#### Explanation:

Given:

This is a hyperbola (negative sign) with transverse axis vertical since the larger denominator is below the

where

where

asymptotes:

where

where

asymptotes:

**To graph manually:**

Create a dashed box

and

Place points at the vertices and foci locations. Sketch curve between the asymptotes: