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# Chapter 14 by Christopher Monahan

1. Translate left 2 and down 1; Domain: x > −2; Range: y > −1

2. Translate right 3, reflect over the x-axis and stretch from the x-axis by a factor of 2, translate up 4; Domain: x > 3; Range: y < 4

3. Reflect over the y-axis and translate up 2; Domain: x < 0; Range: y > 2

4. Translate left 3, reflect over the y-axis, reflect over the x-axis and stretch from the x-axis by a factor of 4, translate down 5; Domain: x < 3; Range: y < −5

5. Translate right 1, reflect over the x-axis, translate up 2; Domain: reals; Range: y < 2

6. Translate left 2, stretch from the x-axis by a factor of 2, translate down 3; Domain: reals; Range: y > −3

7. Stretch from the x-axis by a factor of 1/2 and translate up 2; Domain: reals; Range: y > 2

8. Translate right 1, reflect over the y-axis, stretch from the x-axis by a factor of 3, translate down 2; Domain: reals; Range: y > −2

9. Translate right 1 and up 2; Domain: x ≠ 1; Range: y ≠ 2

10. Translate left 4, stretch from the x-axis by a factor of 2, translate down 3; Domain: x ≠ −4; Range: y ≠ −3

11. Translate right 3, reflect over the x-axis and stretch from the x-axis by a factor of 1/2, translate up 2; Domain: x ≠ 3; Range: y ≠ 2

12. Translate left 1, reflect over the y-axis, stretch from the x-axis by a factor of 3, translate down 4; Domain: x ≠ 1; Range: y ≠ −4

13. f(x) = -(x − 3)2 + 4

14. f(x) = 2 |x + 3| − 5

15.

16. f(x) = 1/2 (x − 3)3 − 1

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