P is a variable point on the parabola x=2t, y=t^2 with focus S and vertex A. Q is the midpoint of SP and R the midpoint of AQ. Find the cartesian equation of the locus of R. Show that the locus is a parabola and find the vertex and focus.
Parabola is x^2 = 4y , and then a =1
p(2p,p^2)
focus...