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19. Conic Sections
19. Conic Sections / Hyperbolas at the Origin / Problem 7
Problem 7

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.
{"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}