Answer to Question #157473 in Analytic Geometry for Rashinda

Question

Sketch the graph of the parabola (y - 2)^2 = 12(x - 1) showing clearly the focus and the directrix

Answer 1

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

focus: $(h+p,k)$

directrix: $x=h-p$

We have:

$k=2,p=3, h=1$

focus: $(4,2)$

directrix: $x=1-3=-2$