Help.
All we need to do here, NSS, is to find the vertex
It appears that it is ( 50, 150 ) = (h, k )
So....the form is
y = a (x - h)^2 + k = a(x - 50)^2 + 150
Note .... "a" = - 3/ 50
So.......Your answer is correct !!!!.....good job !!!