Writing a test on graphing by transformations assignment:

Your test should include assessments of all of these:

Identifying standard functions from their graphs

Writing the equation of a transformed graph

Graphing a function by transforming a given graph

Identifying the period and amplitude of a periodic graph

Your test should also include some of these

Determining whether a function is symmetric about the x-axis, y-axis and/or line y-x

Determining the line of symmetry for a simple quadratic function

Other problems of a medium-hard difficulty level (put in a few, maybe as much as 25% of the test, but not too many)

The length of your test should be...

About right for a 45 minute class period

Computer-wise your test should be written in Microsoft Word, and should either use Equation Editor for the equations, or should be typeset in such a way as to be mostly indistinguishable from the sorts of equations you would find printed in a text book or math paper. Graphs should be computer generated from WinPlot or a similar graphing utility.

You should turn in: a printed copy of your test where you have worked all of the problems as an answer key.

My grading criteria:

The test is of reasonable length (2 pts)

The test is worded clearly so that students are required to show their understanding of all of the main points of the topic as denoted above, and the test items are well chosen to test an appropriate range of what students should know (some easy, some harder, but not too difficult and messy for a test) (10 pts)

The test looks nice (decent typesetting, etc), and is well formatted to provide a reasonable amount of space for students to work out problems (8 pts)

The answer key is correct, and shows all of the relevant steps of the problems (5 pts)