Answer
Vertex: $(h, k)=(\dfrac{-1}{2}, 3)$
Directrix:
$y=k-p=2$
Focus:
$(h,k+p)=(\dfrac{-1}{2},4)$
Work Step by Step
We need to write the standard form of a parabola with a horizontal axis as follows:
$(x+\dfrac{1}{2})^2=4(1)(y-3)$
Now,
Vertex: $(h, k)=(\dfrac{-1}{2}, 3)$
Directrix:
$y=k-p=2$
Focus:
$(h,k+p)=(\dfrac{-1}{2},4)$
