Identify an equation in standard form for a hyperbola with center (0, 0), vertex (−5, 0), and focus (−6, 0).

Answer 1

in a hyperbola,
a^2 + b^2 = c^2
for yours
(-5)^2 + b^2 = (-6)^2
b^2 = 36-25 = 11

equation:
x^2 / 25 - y^2 / 11 = 1