Question

find the equation for a hyperbola centered at (0,0),with foci at (-square root 34,0) and (square root 34,0) and vertices at (3,0) and (-3,0)

Answer 1

THe hyperbola is horizontally oriented.
c^2 = a^2 + b^2
34 = 9 + b^2
b^2 = 25
b = 5
x^2/9 - y^2/25 = 1