Find the standard form of the equation of the hyperbola with

Find the standard form of the equation of the hyperbola with the given characteristics and center at the origin. Vertices: (_+3, 0); foci: (_+6, 0) Note: the plus sign(+) is on top of the minus sign(-) on the Vertices and focus. (Show steps)

Solution

Vertices(h+-a,k)

Therefore

h=0,k=0,a=3

Focii(h+-c,k)

c=6

b^2=c^2-a²=36-9=27

x^2/9-y^2/27=1