Gavin graphs the parabola (x+1)2=−8(y+3) .
How does he proceed?
Drag a value, coordinates, equation, or word to the boxes to correctly complete the statements.
Gavin identifies that the vertex of the parabola is __________. The parabola opens __________, 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
Graph your own parabola here.
Now use the graph to help answer your own questions.
If you want to continue the dialogue after that, then that is fine. :)