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Student: Class: Date:<br />
<strong>Creating</strong> <strong>linear</strong> <strong>models</strong> <strong>for</strong> <strong>data</strong><br />
Student Activity Sheet 4; use with Exploring “Trans<strong>for</strong>mations on <strong>linear</strong> functions”<br />
19. REEI INFFORRCCEE For each trans<strong>for</strong>mation described below, sketch the graph that results.<br />
Then, write the function rule that represents the trans<strong>for</strong>mation. Use a single graph grid<br />
<strong>for</strong> all four graphs, and label each graph with the appropriate letter.<br />
a. Shift the graph of y = x down 2 units.<br />
Function rule:<br />
b. Shift the graph from part a up 5 units.<br />
Function rule:<br />
c. Reflect the graph from part b over the x-axis.<br />
Function rule:<br />
d. Create a graph with the same y-intercept as the graph in part c, but with 4 times the<br />
rate of change.<br />
Function rule:<br />
Copyright 2010 Agile Mind, Inc. ®<br />
Content copyright 2010 Charles A. Dana<br />
Center, The University of Texas at Austin<br />
Page 4 of 4<br />
Without space <strong>for</strong> student work<br />
Algebra I