Write the equation of the hyperbola with vertices (4, 0), (–4, 0) and focus (5, 0).

Question

Write the equation of the hyperbola with vertices (4, 0), (–4, 0) and focus (5, 0).

Answer 1

2a = 4 - (-4) = 8; a = 4; c = 5; b² = 25 - 16 = 9; b = 3. Center is ((-4 + 4)/2, 0) = (0, 0)

Equation of hyperbola: x²/16 - y²/9 = 1