Gavin graphs the parabola (x + 1)² = -8(y+3). How does he proceed?
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Gavin identifies that the vertex of the parabola is
X = 1
The parabola opens i
and the focus is
units away from the vertex. The directrix is :
units from the focus. The focus is the point
The directrix of the equation is
Gavin plots the vertex and focus, and graphs the directrix as a dashed line. He then draws the parabola so that the focus sits
inside the curve and the directrix does not intersect it.
(-1, -3)
(-1,-5)
(-3, 3)
1
2
4
x=0
x = 1
y = -1
y=-2
up.
down
left
right