As shown in figure below, in Cartesian coordinate system rOy, there is a line I: I-y-2 =0 and a parabola C : y = 2pr(p>0). (1) If line / passes the focus of parabola C, what is the equation of...

Extracted text: As shown in figure below, in Cartesian coordinate system rOy, there is a line I: I-y-2 =0 and a parabola C : y = 2pr(p>0). (1) If line / passes the focus of parabola C, what is the equation of parabola C? (2) There are two points P.Q on C such that P and Q are symmetric with respect to line 1. a. Prove that the midpoint of line segment PQ is (2 - p.-p). b. What is the range of possible values of p? TIBEES