Using graphing software, students explore the transformations of quadratic functions: Students will manipulate the parent graph f(x)= x2 into translations, dilations, and reflections: Use the example in the book or chose their own example. On a separate sheet of paper and a poster, write and graph the parent form of the quadratic and write an equation of an assigned transformations of the parent graph and explain what happens to each graph based on the equation.

Family of Graphs Lab: Transformati
Transformations

Poor

10 pts

Fair

15 pts

Good

20 pts

Advanced

25 pts

Slider a

Transformations that occurred from manipulating slider a.

Poor

Incorrectly identified changes to the graphs of the functions. Recognized the correct values of a for a vertical dilation or compression. Incomplete

Fair

Correctly identified changes to the graph of the functions. Do not Recognized the correct values of a for a vertical dilation or compression.

Good

Correctly identified changes to the graphs of the functions. Recognized the correct values of a for a vertical dilation or compression.

Advanced

Correctly identified changes to the graphs of the functions. Recognized the correct values of a for a vertical dilation or compression. Responses written in complete sentences.

Slider b

Transformations that occurred from manipulating slider b.

Poor

Incorrectly identified changes to the graphs of the functions. Recognized the correct values of a for a vertical dilation or compressionIncomplete

Fair

Correctly identified changes to the graph of the functions. Do not Recognized the correct values of a for a vertical dilation or compression.

Good

Correctly identified changes to the graphs of all five functions. Recognized the correct values of b for an horizontal dilation or compression.

Advanced

Correctly identified changes to the graphs of the functions. Recognized the correct values of a for a vertical dilation or compression. Responses written in complete sentences..

Slider h

Transformations that occurred from manipulating slider h.

Poor

Incorrectly identified changes to the graphs of the functions. Recognized the correct values of a for a vertical dilation or compressionIncomplete

Fair

Correctly identified changes to the graph of the functions. Do not Recognized the correct values of a for a vertical dilation or compression.

Good

Correctly identified changes to the graphs of all five functions. Recognized the correct values of h for a slide to the right or left.

Advanced

Correctly identified changes to the graphs of the functions. Recognized the correct values of a for a vertical dilation or compression. Responses written in complete sentences.

Slider k

Transformations that occurred from manipulating slider k.

Poor

Incorrectly identified changes to the graphs of the functions. Recognized the correct values of a for a vertical dilation or compressionIncomplete

Fair

Correctly identified changes to the graph of the functions. Do not Recognized the correct values of a for a vertical dilation or compression.

Good

Correctly identified changes to the graphs of all five functions. Recognized the correct values of k for a slide up or down.

Advanced

Correctly identified changes to the graphs of the functions. Recognized the correct values of a for a vertical dilation or compression. Responses written in complete sentences.

Equations

General Form

Written on the chart correctly.

Poor

None of the equations correctly identified

Fair

Some equations correctly identified

Good

Most equations correctly identified

Advanced

All parts of equations correctly identified

Equations

Written equations from several transformations.

Poor

1 or 2 equations written correctly or 3 equations written with some errors. Explanations for changes in the graphs not accurate and not written in complete sentences.

Fair

3 equations written with correctly or 4 equations written with some errors. Explanations for changes in the graphs have some errors and not written in complete sentences.

Good

4 equations written correctly or 5 equations written correctly with some errors. Explanations for changes in the graphs mostly accurate and written in complete sentences.

Advanced

5 equations written correctly. Explanations for changes in the graphs accurate and written in complete sentences.

Chart

Chart Completion

Poor

At least 2 sections filled in accurately and complete.

Fair

At least 3 sections filled in accurately and complete.

Good

At least 5 sections filled in accurately and complete.

Advanced

All sections of the chart filled in accurately and complete.