Let the parabola be of form: x2 = 4a(y-k)
Through (-1,0): 1 = 4a(-k) So 4ak = -1 --(1)
Through (0,-1): 0 = 4a(-1-k) -- (2)
Sub (1) into (2): 0 = 4a(4ak - k)
So 4ak(4a-1)=0 So a=1/4
Therefore x2 = y-k
Through (-1,0): 1 = 0 -k, so k=-1
So equation of the parabola is: x2=y+1.
Alternative...