Find an equation in standard form for the hyperbola with vertices at (0, ±2) and foci at (0, ±7).

Standard Form of an Equation of an Hyperbola opening up and down is:

(y-k) ^2 / b^2 - (x-h) ^2 / a^2 = 1

where Pt (h, k) is a center with vertices 'b' units up and down from center.

vertices: vertices: (0,+-2) b = 2 AND Center is (0,-0)

(y) ^2/4 - (x) ^2/a^2=1

foci: (0,+-7)

a^2 = 24

square root of 4 + a^2 = 5.29

4 + 5.29 = 9.29

y^2 / 4 - x^2 / 24 = 1