Algebra 2 Companion Book, Volume 1

1.2.3 Exploring Transformations - Practice

1.  Identify the coordinates of the point (2, − 1), translated 6 units left and 3 units up.

2.  Create a table that shows the reflection of f ( x ) across the y -axis. x f ( x ) − 5 − 3

− 1 2 2 4 6 − 1

4.  Create a table that shows the reflection of f ( x ) across the x -axis. x f ( x ) − 5 − 3

3.  The graph of y = f ( x ) is given below. Use a table to perform the reflection of y = f ( x ) across the y -axis. Graph the reflection.

− 1 2 2 4 6 − 1

5.  The graph of y = f ( x ) is given below. Use a table to perform the reflection of y = f ( x ) across the x -axis. Graph the reflection.

6.  The graph of y = f ( x ) is given below. Use a table to stretch the function y = f ( x ) vertically by a factor of 2. Graph the transformation.

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