A hyperbola has one of its foci at $(3, 2),$ and the vertex of the hyperbola closer to this focus is at $(4, 2).$ One of the asymptotes of the hyperbola has slope $\frac{\sqrt2}{2}.$ Find the $x-$coordinate of the center of the hyperbola.

Guest Mar 17, 2021

#1**0 **

https://web2.0calc.com/questions/hyperbola-help_1

I think this has been answered before, let me know if I'm wrong :)

owentout Mar 17, 2021

#2**0 **

Don't know how it was derived....here is a graph:

https://www.desmos.com/calculator/sb0brydioy

ElectricPavlov Mar 18, 2021