Question

This question is about a parabolas:
37. Suppose PQ is a focal chord of the parabola y=x^2 and that the coordinates of P are (2,4)
a. Find the coordinates of Q.
b. Find the coordinates of M, the midpoint of PQ
c. A perpendicular is drawn from M to the y-axis meeting the y-axis at S. Also, a line perpendicular to the focal chord is drawn through M, meeting the y-axis at T. Find ST and verify that it is equal to one-half the focal width of the parabola.

Please help, I'm really bad in analytic geometry.

Answer 1

Hello

Answer 2

Do you know that the basic forms of a parabola are\[y^2=4px\]or\[x^2=4py\] in which p is the focus of the parabola?

Answer 3

yea i do