We will first plot those points to see what type of parabola this is. If the vertex is at (0, 0) and the focus is at (4, 0), this will be a parabola that opens to the right, since the parabola always curves around the focus. The standard form for a parabola of this type is [tex](y-k)^2=4p(x-h)[/tex], where h and k are the coordinates of the vertex, and p is the distance between the vertex and the focus. Our h and k are both 0, and our p distance is 4: [tex](y-0)^2=4*4(x-0)[/tex]. Cleaning that up a bit we get [tex]y^2=16x[/tex]. And there you go!
