have a look at this and see if it helps
Hi I am very confused as to how this question actually works out...
I am asked to find the equation of a hyperbola with foci at (-3,-1) and (-3,9)
and asymptotes at y=(-3x/4)+(7/4) and y=(3x/4)+(25/4)
Every time I try to visualize this my foci are on a different side of the x-axis than my foci which completely throws all my thoughts out
I also don't particularly know how to get the equation when there is asymptotic shifts...
PLEASE HELP ME
Hello, calmo11!
Find the equation of a hyperbola with foci and
and asymptotes: . and
Since the foci are oriented vertically, the hyperbola is "vertical": .
Its general equation is: .
. . where is the center and is the slope of the asymptotes.
The foci are and .
The center is the midpoint: .
The slope of the asymptotes is: .
Hence: .
Got it?