Suppose a parabola that has its vertex at (0, 0) opens to the left on the coordinate plane and the distance from the focus to the vertex is p p . Collin says that the equation (x+p)2+(y−0)2−−−−−−−−−−−−−−−√=p−x could be used to relate the distance between the point (x, y) on the parabola and the focus, and the distance between the point on the parabola and the directrix. Examine the equation to determine whether Collin is correct. If so, explain why. If not, correct his equation to match the parabola that was described.