Answer:
Part 1) ----->
Part 2) ---->
Part 3) ---->
Part 4) ----->
Part 5) ---->
Part 6) ---->
Step-by-step explanation:
we know that
The equation of a vertical parabola in vertex form is equal to
where
(h,k) is the vertex
The directrix is
case 1) we have
the vertex is the point (-2,-8)
The directrix is equal to
case 2) we have
the vertex is the point (3,14)
The directrix is equal to
case 3) we have
the vertex is the point (-2.5,-7.5)
The directrix is equal to
case 4) we have
the vertex is the point (3,17)
The directrix is equal to
case 5) we have
the vertex is the point (4,-7)
The directrix is equal to
case 6) we have
the vertex is the point (1,6)
The directrix is equal to