# How do you find the center and vertices and sketch the hyperbola #y^2/1-x^2/4=1#?

##### 1 Answer

Mar 28, 2018

Write your equation in form:

where the center is

#### Explanation:

Your equation is already in the right form.

You just read it:

Center:

Draw a rectangle

[Alternative: draw

through opposite rectangle's vertices [or intersection of green lines] (red points) draw a line- this 2 lines are hyperbola asymptotes.

So you know hyperbola have the vertices at

Asiptote is a line such that the distance between the curve and the line approaches zero as one or both of the x or y coordinates tends to infinity