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**Unformatted text preview: **Section 2.6 Horizontal Geometric Transformations 209 Version: Fall 2007 2.6 Exercises Pictured below is the graph of a function f . x 10 y 10 f The table that follows evaluates the function f in the plot at key values of x . Notice the horizontal format, where the first point in the table is the ordered pair ( − 6 , 0). x − 6 − 4 − 2 2 4 f ( x ) 4 4 − 2 Use the graph and the table to complete each of following tasks for Exercises 1- 10 . i. Set up a coordinate system on graph paper. Label and scale each axis, then copy and label the original graph of f onto your coordinate system. Re- member to draw all lines with a ruler. ii. Use the original table to help com- plete the table for the given function in the exercise. iii. Using a different colored pencil, plot the data from your completed table on the same coordinate system as the original graph of f . Use these points Copyrighted material. See: http://msenux.redwoods.edu/IntAlgText/ 1 to help complete the graph of the given function in the exercise, then label this graph with its equation given in the exercise. 1. y = f (2 x ). x − 3 − 2 − 1 1 2 y 2. y = f ((1 / 2) x ). x − 12 − 8 − 4 4 8 y 3. y = f ( − x ). x − 4 − 2 2 4 6 y 4. y = f ( x + 3). x − 9 − 7 − 5 − 3 − 1 1 y 5. y = f ( x − 1)....

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