Answer
vertex: (4,-3)
focus: (3.5,-3)
directrix: (x-4)=0.5 or x=4.5
Work Step by Step
take all y terms and complete the square:
(y+3)²-9 = -2x-1
(y+3)² = -2x+8
(y+3)² = -2(x-4)
thus from the equation:
vertex is (4,-3)
and 4p = -2
thus p= -0.5
directrix is (x-h)=-p
thus the directrix: (x-4)=0.5 or x=4.5
