Answer:
f(x) = -3(x - 4)^2 - 3.
Step-by-step explanation:
As the vertex is at x = 4 and it is the same shape as y = -3x^2 the vertex of y = -3x^2 ( x = 0) moves 4 units to the right so the form of the f(x) is
f(x) = -3(x - 4)^2 + c where c is some constant.
Now when x = - 4 f(x) = -195 so:
-195 = -3(-4-4)^2 + c
-195 = -3*64 + c
c = -195 + 192 = -3.
So the required equation is f(x) = -3(x - 4)^2 - 3.
