Chapter 11 - Review - Exercises - Page 833: 3

(a) Vertex: $V(0,0)$ Focus: $F(0,2)$ Directrix: $y=−2$ (b)

Equation of a parabola with vertical axis and vertex at $(h,k)$: $(x-h)^2=4p(y-k)$ $\frac{1}{8}x^2=y$ $(x-0)^2=8(y-0)$ $h=0$ $k=0$ $4p=8$ $p=2$ Vertex: $V(h,k)=V(0,0)$ Focus: $F(0,p)=F(0,2)$ Directrix: $y=−p=−2$