My professor asked for us to complete this proof but I am completely stumped. Can anyone please help? Here is all the info he gave us:

x= V_0x(t)+1/2 a_x(t)^2 ---> x=V_0x(t)

y= V_0y(t) + 1/2 a_y(t)^2 ---> y= V_0y(t)

Show: y= f(x) = Ax^2 + Bx + C i.e.

y=f(x) is a parabola and identify A,B,C