Find an equation for the parabola. Focus on the positive x-axis, 2 units away from the directrix
Since the focus is on the positive x-axis, 2 units away from the directrix, the vertex of the parabola will be at (2, 0).
The equation for a parabola with vertex (h, k) and focus (h + p, k) where p is the distance from the vertex to the focus, is given by:
(x - h)^2 = 4p(y - k)
Plugging in the values of the vertex and focus into the equation, we get:
(x - 2)^2 = 8(y - 0)
(x - 2)^2 = 8y
Therefore, the equation of the parabola is:
(x - 2)^2 = 8y