Algebra 2 Companion Book, Volume 1

1.2.3 Exploring Transformations - Worksheet

Example 1: Perform the given translation on the point (4, 2) and give the coordinates of the translated point. 1. 5 units left 2. 3 units down 3. 1 unit right, 6 units up

Example 2: Use a table to perform each transformation of y = f ( x ). Use the same coordinate plane as the original function. 4. translation 2 units up

3

f

–2

2

4

6

–3

5. reflection across the y -axis

6. reflection across the x -axis

Example 3: Use a table to perform each transformation of y = f ( x ). Use the same coordinate plane as the original function. 7. horizontal stretch by a factor of 3

4

f

–4

4

–2

9. vertical compression by a factor of 1 3

8. vertical stretch by a factor of 3

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