Question on parabolas

Algebra
Tutor: None Selected Time limit: 1 Day

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.

May 18th, 2015

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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.



May 18th, 2015

The parabola opens to the right

May 18th, 2015

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May 18th, 2015
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