when graphed which equation will yield the same maximum value as the graph of y = -3x^2 + 6x + 9 ?

a) y = -3(x - 1)^2+12
b) y = -3(x + 1) ^2 - 12
c) y = 3(x - 1)^2 -12
d) y = 3(x + 1)^2 + 12

y = a(x-h)^2 + k where the maximum is k

if there is a maximum value, then that will occur at the vertex when a < 0
So C and D are out already