8. Conic Sections
Hyperbolas NOT at the Origin
25PRACTICE 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 y minus 4 close parentheses squared over 64 minus open parentheses x plus 3 close parentheses squared over 100 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>y</mi><mo>-</mo><mn>4</mn></mrow></mfenced><mn>2</mn></msup><mn>64</mn></mfrac><mo>-</mo><mfrac><msup><mfenced><mrow><mi>x</mi><mo>+</mo><mn>3</mn></mrow></mfenced><mn>2</mn></msup><mn>100</mn></mfrac><mo>=</mo><mn>1</mn></mstyle></math>","truncated":false}](https://lh3.googleusercontent.com/o-VgGurRKpbIGVdFvvv4Dxzl-pNnBZMAmRhHakHulg379wjgJCEQKsYaQFg3iVjnuvpzG_0Gc7UfJZ2t3fXJahxRQYBBV8aGbKwZwrWIPjrQbtqTqU2glHJT076GmzRhRbW-moIOiAHcQJx7yXa6e8DwCkH_kDRvSCQ4689IB5BKm1CU7goUyrO-Cpd5Dg)
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.