8. Conic Sections
Hyperbolas NOT at the Origin
24PRACTICE PROBLEM
The equation of the hyperbola is given below. Draw the graph using its center, vertices, and asymptotes. Find the equations for the asymptotes and the coordinates of the foci.
![open parentheses x minus 1 close parentheses squared over 36 minus y squared over 9 equals 1 {"mathml":"<math style=\"font-family:stix;font-size:16px;\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mstyle mathsize=\"16px\"><mfrac><msup><mfenced><mrow><mi>x</mi><mo>-</mo><mn>1</mn></mrow></mfenced><mn>2</mn></msup><mn>36</mn></mfrac><mo>-</mo><mfrac><msup><mi>y</mi><mn>2</mn></msup><mn>9</mn></mfrac><mo>=</mo><mn>1</mn></mstyle></math>","truncated":false}](https://lh3.googleusercontent.com/_WvMAAfxVYrt5i3vdMcgxn71MMzIdK3q8wRyiO57xb8KkWzXKb3rnwpTQwteTN1u9Yt7eMHrmUSGFKTGEY3mlodGm1Ie9dY6PBbIMHgLnSL2bubZLN953nMcs-RRBWrQ37VnJD48OaUuGIZrGUL0LRWJi5RfXEagIzQBGQKKtvRiecbWsztIUm1Wg79tCw)
The equation of the hyperbola is given below. Draw the graph using its center, vertices, and asymptotes. Find the equations for the asymptotes and the coordinates of the foci.