Question

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

Answer 1

-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).

Comments

Check your answer .

(0,2) is vertex of the parabola.

Answer 2

The parabola

Here the x  part is squred.

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

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

Compare it to vertical parabola equation

(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).