What information do you need to graph hyperbolas?
1 Answer
Mar 13, 2015
If It's known the equation of the hyperbolas, that is:
we can graph the hyperbolas in this way:

find the center
#C(x_c,y_c)# ; 
make a rectangle with the center in
#C# and with sides#2a# and#2b# ; 
draw the lines that pass from the opposite vertices of the rectangle (the asymptotes);

if the sign of
#1# is#+# , than the two branches are left and right of the rectangule and the vertices are in the middle of the vertical sides, if the sign of#1# is## , than the two branches are up and down of the rectangule and the vertices are in the middle of the horizontal sides.