Find an equation for the hyperbola that has its center at th

Find an equation for the hyperbola that has its center at the origin and satisfies the given conditions.

foci F(0, ±4), vertices V(0, ±1)

focii (0,+-4) , vertices (0,+-1)

vertices (0+-a)

Therefore a=1

focii (0,+-c)

Therefore c=4

b^2=c^2 -a^2 =15

required equation is

y^2/ 1 - x^2 /15=1