Find the equation of the hyperbola with vertices (4,0) (-4,0) and focus (7,0)
+118658 Find the equation of the hyperbola with vertices (4,0) (-4,0) and focus (7,0)
Here is a video that will help you
https://www.youtube.com/watch?v=V5dBFw0Y0pE
\(\frac{x^2}{a^2}-\frac{y^2}{b^2}=1\\ a=4\qquad \\ \frac{x^2}{4^2}-\frac{y^2}{b^2}=1\\ 7^2=4^2+b^2\\ 49=16+b^2\\ 33=b^2\\ b=\sqrt{33}\\ \frac{x^2}{16}-\frac{y^2}{33}=1\\ \)
