8. Conic Sections
Hyperbolas NOT at the Origin
23PRACTICE 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.
![fraction numerator left parenthesis x minus 2 right parenthesis squared over denominator 25 end fraction minus fraction numerator left parenthesis y minus 4 right parenthesis squared over denominator 49 end fraction equals 1 {"mathml":"<math style=\"font-family:stix;font-size:16px;\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mstyle mathsize=\"16px\"><mfrac><mrow><mo>(</mo><mi>x</mi><mo>-</mo><mn>2</mn><msup><mo>)</mo><mn>2</mn></msup></mrow><mn>25</mn></mfrac><mo>-</mo><mfrac><mrow><mo>(</mo><mi>y</mi><mo>-</mo><mn>4</mn><msup><mo>)</mo><mn>2</mn></msup></mrow><mn>49</mn></mfrac><mo>=</mo><mn>1</mn></mstyle></math>","truncated":false}](https://lh5.googleusercontent.com/PoNSsBpKzf2b8yOHK4fLZdGg6a9F2uCBnEizYM-SDcTBFIhbef0hr9l_A4fYVCgXlk6aVm9O355rhNkRqDF2ZxDWaM6k8Ow95yHmS--btTSNG6qF78AfKEJ1AlttdpuulWK-mb7HgywEZlriWS24pz2mLxDbaIA5MfIzW3y27v0ue1h2XOKQH2l3r6SHew)
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.