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The coordinates of the focus of the parabola −0.25x^2 = y − 2 are:?

0 votes
The coordinates of the focus of the parabola −0.25x^2 = y − 2 are:
asked Apr 20, 2013 in PRECALCULUS by payton Apprentice

2 Answers

0 votes

-0.25x2 = y - 2

(-1 / 4)x2 = y - 2

x2 = -4(y - 2)

(x - 0)2 = -4(y - 2)

The coordinates of the focus of the parabola :(0 , 2).

answered Apr 23, 2013 by diane Scholar

Check your answer .

(0,2) is vertex of the parabola.

0 votes

The parabola image

Here the x  part is squred.

If a parabola has vetical axis,the standard form of the equation parabola  is image

Where p not equals to 0.(h ,k ) is vertex .Focus is (h , k +p ) and directrix is y  = k - p .

image

image

image

image

Compare it to vertical parabola equation image

(h ,k ) = (0, 2)

p  = -1

p  is negitive ,the parabola opens downward .

Focus is (h, k +p ) = (0 , 2 -1) = (0, 1)

Coordinates of focus are (0,1).

answered May 22, 2014 by david Expert
edited May 22, 2014 by david

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