Question

A parabola has a vertex at the origin. The equation of the directrix of the parabola is y = 3.

What are the coordinates of its focus?

(0,3)
(3,0)
(0,–3)
(–3,0)

URGENT. NEED HELP QUICK.

Answer 1

Answer:hi there, the correct answer would be c! or (0,-3) hope this helps :)

Step-by-step explanation: i just took the test and got all of em correct

Answer 2

The correct option is 3.

Explanation:

The vertex of parabola is origin and directrix of the parabola is y = 3.

The standard form of a parabola is

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

Where (h,k) is vertex. (h,k+p) is focus and y=k-p is directix.

The vertex of parabola is origin. So,

`h=0`

`k=0`

Directrix of the parabola is y = 3.

`y=k-p`

`3=0-p`

`-3=p`

The value of p is -3.

Focus of the parabola is (h,k+p).

`(h,k+p)=(0,0-3)`

`(h,k+p)=(0,-3)`

Therefore focus of the parabola is (0,-3) and option 3 is correct.