Here are my Do Now questions for the day (as warm up for writing simple piecewise function equations, which the kids did wonderfully with!). We have seen absolute value equations/transformations this year but haven't covered quadratic transformations yet.

1.) How do the graphs of y = |x| and y = |x - 3| + 5 differ? Be specific.

2.) Try to write the equation of a quadratic function with vertex at (-1, -9) and standard steepness/shape. Simplify your equation as much as possible.

3.) Using the same idea, write an equation of a linear function of slope 8, that passes through (-16, 7). Simplify your equation as much as possible.

4.) All 3 of the above are related concepts. How??

It turned out to be a super nice lead-in to piecewise functions; kids were whipping up linear equations left and right (correctly) and actually focusing in on the domain-restriction aspect of the task. YES! Small victories!!

One reason for me is that I usually teach linear functions before all other functions, so transformations come much later. However, I revisit lines and explain how now that we know transformations we have a new angle on linear functions as well. This has been an aha moment for my kids.

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