A quadratic function has f(x) vertex at (-1, 2) and goes through the point (3, 0). Determine which one of the following equations is the correct equation of f(x).

a) f(x)=(x+1) ^2+2
b) f(x)=(x+1) ^2−2
c) f(x)=−(x+1) ^2+2
d) f(x)=(x−1) ^2 =2