Chap2 Section6

Elementary and Intermediate Algebra: Graphs & Models (3rd Edition)

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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 0 2 4 f ( x ) 0 4 4 0 2 0 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: 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 0 1 2 y 2. y = f ((1 / 2) x ) . x 12 8 4 0 4 8 y 3. y = f ( x ) . x 4 2 0 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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  • Geometry, Horizontal Geometric Transformations

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