Answer:
The correct option is 3.
Step-by-step explanation:
The vertex of parabola is origin and directrix of the parabola is y = 3.
The standard form of a parabola is
[tex](x-h)^2=4p(y+k)[/tex]
Where (h,k) is vertex. (h,k+p) is focus and y=k-p is directix.
The vertex of parabola is origin. So,
[tex]h=0[/tex]
[tex]k=0[/tex]
Directrix of the parabola is y = 3.
[tex]y=k-p[/tex]
[tex]3=0-p[/tex]
[tex]-3=p[/tex]
The value of p is -3.
Focus of the parabola is (h,k+p).
[tex](h,k+p)=(0,0-3)[/tex]
[tex](h,k+p)=(0,-3)[/tex]
Therefore focus of the parabola is (0,-3) and option 3 is correct.
