
### Instruction: help me answer this question Vertices (0, ± 5), foci (0, ± 8)., think step by step
### Assistant: Given vertices (0, ± 5) and foci (0, ± 8) are on the y-axis, so the equation of the hyperbola is of the form y2/a2 – x2/b2 = 1. Here, a = 5 and c = 8. We know that a2 + b2 = c2, so b2 = 39. , The answer is The equation of the hyperbola is y2/25 – x2/39 = 1.
