A parabola, with its vertex at the origin, has a directrix at y = 3. Which statements about the parabola are true? Check all that apply.

The focus is located at (0,-3).

The parabola opens to the left.

The p value can be determined by computing 4 (3).

The parabola can be represented by the equation x2 = - 12y.

The parabola can be represented by the equation y2 = 12x.

Question

Mathematics

Zion Haley

Today, 20:06

A parabola, with its vertex at the origin, has a directrix at y = 3. Which statements about the parabola are true? Check all that apply.

The focus is located at (0,-3).

The parabola opens to the left.

The p value can be determined by computing 4 (3).

The parabola can be represented by the equation x2 = - 12y.

The parabola can be represented by the equation y2 = 12x.

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Answers (1)

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Presley · Answer 1

For the parabola that has a vertex at the origin (0,0) and directrix of y=3. This equation is a parabola that is parallel to the x - axis and it opens downward, the statements that could suffice the conditions are

The focus is located at (0,-3)

The parabola can be represented by the equation x^2=-4ay, a=3 thus x^2=-12y