Hyperbola

A hyperbola which is centered at (h,k) has a standard equation

------(1)
if the hyperbola is opening sidewards, else, if it's opeing upwards and downwards, the standard equation will be
------(2)

Let's take a look at equation type (1):


This hyperbola in blue has
a) vertices at B1 and B2 at ,
b) foci at F1 and F2 at where ,
c) asymptotes in red dotted lines .


Now, let's look at equation type (2):


This hyperbola in blue has
a) vertices at B1 and B2 at ,
b) foci at F1 and F2 at where ,
c) asymptotes in red dotted lines .

Betty, Created with GeoGebra