Which function has a minimum and is transformed to the right and down from the parent function, f(x) = x²?

a. g(x) = –9(x + 1)² – 7
b. g(x) = 4(x – 3)² + 1
c. g(x) = –3(x – 4)² – 6
d. g(x) = 8(x – 3)² – 5