I need help finding the equation of a hyperbola that opens vertically with asymptotes $y=2x+11$ and $y=-2x-1$. I also need help finding the equation of a different hyperbola that also opens upwards with the same asymptotes.
I mostly need help with the second one, but they relate, so it'd be great if you guys could give me hints on how to do this.
Equation of the two asymptotes: $$ (2x+11-y)(-2x-1-y)=0 $$ Equations of hyperbolas with these asymptotes: $$ (2x+11-y)(-2x-1-y)=c $$ for nonzero constant $c$. For one sign of $c$ it "opens vertically" and for the other sign it doesn't.