Question: Find an equation of the hyperbola with its center at the origin

Vertices: (+/- 3, 0);

Foci: (+/- 5, 0)

My work:

a = 3, c = 5

b^2 = c^2 - a^2

25 - 9 = 16

(y^2 / 25) - (x^2 / 16) = 1

I don't think this is right. Any corrections?

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