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.

options:

(-1,-3), (-1,-5), (-3,-3), 1, 2, 4, x=0, x=1, y=-1, y=-2, up, down, left, right

Beanpole Jan 4, 2020

#2**+1 **

Graph your own parabola here.

https://www.desmos.com/calculator

Now use the graph to help answer your own questions.

If you want to continue the dialogue after that, then that is fine. :)

Melody Jan 4, 2020