Answer
Vertex: $(h, k)=(5,\dfrac{-1}{2})$
Directrix:
$x=\dfrac{9}{2}$
Focus: $(\dfrac{11}{2},\dfrac{-1}{2})$
Work Step by Step
We need to write the standard form of a parabola with a horizontal axis as follows:
$(y+\dfrac{1}{2})^2=4(\dfrac{1}{2})(x-5)$
Now,
Vertex: $(h, k)=(5,\dfrac{-1}{2})$
Directrix:
$x=h-p=\dfrac{9}{2}$
Focus:
$(h+p,k)=(\dfrac{11}{2},\dfrac{-1}{2})$
