^{2}and then recognizing that all parabolas are really just different perspectives of this parent graph. Zoom out and the parabola get skinnier; zoom in and it gets fatter. If you know the vertex and stretch factor, then you are ready to do some graphing; this works for vertex or standard form.

One of the more interesting developments during this unit has been my students recognizing that the rate of change in a parabola has a rate of change. They are wrestling with the concepts behind derivatives and I want to keep them in that fight as long as possible. I usually have my students graph five points and I have always had them relate those five points back to the vertex. However, with the way they are handling rate of change, I need to rethink my process.

Simply use the stretch factor to adjust the relationships: This year I have given them choice on this, but it has caused a few kids confusion as they end up with a hybrid process. Next year? Not so sure.

## 2 comments:

Hey David, how do you make your graphs?

I made the graphs from this post using SMART Notebook and then exported them as an image. I have been using GeoGebra for alot of the stuff in my lessons as well as the "trial" for HandyGraph. I like HandyGraph, but don't like the price.

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