Given that the vertex is at the coordinate (5,2) and the focus is (7,2) I have to write the equation of the parabola in STANDARD FORM and also give the value of P direction it opens and directrix.

will get back to you in a few minutes..........................................................................................................................................

May 18th, 2015

Use (y-k)^2 = 4p (x-h)

Here (h,k) = (5,2)

The value of P is the distance from the vertex to the focus which is equal to 2 units

( y-2)^2 = 4*2 (x-5)

y^2-4y+4 = 8x -40

or x = 1/8 (y^2-4y+44)

The equation of the directrix will be the line y =3

Please let me know if you have any questions and best me if you are satisfactory.