How do you find the center and vertices and sketch the hyperbola #y^2/1-x^2/4=1#?
Write your equation in form:
where the center is
Your equation is already in the right form.
You just read it:
Draw a rectangle
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