1330 HW3 (1.3) - Math 1330 Homework 3 (1.3) Problem 1.3.10...

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Unformatted text preview: Math 1330 Homework 3 (1.3) Problem 1.3.10 refers to problem 10 in Chapter 1, Section 3 of the online text. Record your answers to all of the problems in the EMCF titled “Homework 3.” 1. Problem 1.3.10 – Which of the following describes the transformation? A. B. 2. Shift 4 units to the left Shift 4 units to the right Problem 1.3.12 – Which of the following describes the transformation? A. B. 3. Reflect about the x-axis Reflect about the y-axis Problem 1.3.14 – Which of the following describes the transformation? A. B. Vertical Stretch C. Vertical Shrink D. Horizontal Shrink E. 4. Horizontal Stretch None of the above Problem 1.3.20c A. B. −4 − x + 2 C. −4 − x − 2 D. −4 − 2 − x E. 5. −4 + 2 − x −4− −2− x Problem 1.3.20d A. −4 + 2 − x B. −4− −2− x C. −4 − x − 2 D. −4 − x + 2 E. −4 − 2 − x 6. Problem 1.3.24 A. B. Shift left 7 units, shrink vertically by a factor of 1/6, shift up 3 units C. Shift left 3 units, shrink vertically by a factor of 1/6, shift down 7 units D. Shift right 3 units, shrink vertically by a factor of 1/6, shift down 7 units E. 7. Shift left 7 units, shrink vertically by a factor of 1/6, shift down 3 units None of the above Problem 1.3.30 A. B. Shift right 3 units, reflect about the y-axis, shift down 8 units C. Shift left 3 units, reflect about the x-axis, shift down 8 units D. Shift right 3 units, reflect about the x-axis, shift down 8 units E. 8. Shift left 3 units, reflect about the y-axis, shift down 8 units None of the above Problem 1.3.44 A. B. 9 7 8 6 7 5 6 5 4 4 3 3 2 2 1 1 −7 −6 −5 −4 −3 −2 −1 1 −1 2 1 2 3 4 5 6 7 8 9 10 −1 −1 −2 −2 C. D. 9 7 8 6 7 5 6 4 5 3 4 2 3 2 1 1 −9 −8 −7 −6 −5 −4 −3 −2 −1 1 −1 −2 2 −1 1 −1 −2 2 3 4 5 6 7 8 9. Problem 1.3.48 A. B. 1 1 1 2 3 4 5 6 7 8 1 −1 6 7 8 9 2 3 4 5 6 7 8 9 −4 −5 5 −3 −4 4 −2 −3 3 −1 −2 2 1 9 −5 C. D. 1 1 1 2 3 4 5 6 7 8 9 −1 −1 −2 −2 −3 −3 −4 −4 −5 −5 10. Problem 1.3.50 A. B. 4 3 5 2 4 1 −2 6 3 −1 1 2 3 4 5 6 2 7 −1 1 −2 −2 −1 −3 1 2 3 4 5 6 7 1 2 3 4 5 6 7 −1 C. D. 5 4 4 3 3 2 2 1 1 −2 −1 −2 1 2 3 4 5 6 7 −1 −1 −1 −2 −2 −3 11. Problem 1.3.54 A. B. 6 6 y 5 5 4 4 3 3 2 y 2 1 1 x −8 −7 −6 −5 −4 −3 −2 −1 1 2 3 4 x 5 −8 −7 −6 −5 −4 −3 −2 −1 1 −1 −4 −5 5 −3 −4 4 −2 −3 3 −1 −2 2 −5 C. D. 6 6 y 5 5 4 4 3 3 2 y 2 1 1 x x −5 −4 −3 −2 −1 1 2 3 4 5 6 7 −5 8 −4 −3 −2 −1 1 −1 −5 If (5, 0) is a point on the graph of y = f (x), which of the following must be on the graph of y = – f (x)? A. 13. −4 −5 12. −3 −4 4 −2 −3 3 −1 −2 2 (0, 5) B. (0, –5) C. (–5, 0) D. (5, 0) If (0, 5) is a point on the graph of y = f (x), which of the following must be on the graph of 1 y = f ( x) ? 2 A. (5, 0) B. 5 ,0 2 C. 1 ,0 2 D. 5 0, 2 5 6 7 8 14. Suppose that the x-intercepts of the graph of y = f (x) are –2, 1, and 5. Then the x-intercepts of y = f (x + 3) are A. 15. 1, 4, 8 True B. False Suppose that the x-intercepts of the graph of y = f (x) are –3 and 2. Then the x-intercepts of the graph of y = 2f (x) are –3 and 2. A. True B. 17. –5, –2, 2 To obtain the graph of y = f (x + 5) – 4, shift the graph of y = f (x) horizontally to the right 5 units and vertically down 4 units. A. 16. B. False Suppose f ( x ) = x 2 + x − 5 . What is the y-intercept of f (x + 2)? A. 1 B, –3 C. –5 D. –7 18. Which is the graph of f ( x ) = −4 x − 1 ? A. B. 2 9 y x −2 y 8 1 −1 1 2 3 4 7 5 −1 6 −2 5 −3 4 −4 3 −5 2 −6 1 x −7 −2 −1 1 4 5 2 3 4 5 −1 −9 3 1 −8 2 −2 C. D. 2 9 y 1 8 x −2 −1 y 1 2 3 4 7 5 −1 6 −2 5 −3 4 −4 3 −5 2 −6 1 −7 x −2 −1 −8 −1 −9 −2 19. Which is the graph of f ( x ) = x + 1 − 3 ? A. B. 7 7 y 6 6 5 5 4 4 3 3 2 2 1 y 1 x −3 −2 −1 1 2 3 4 x 5 −5 −4 −3 −2 −1 −1 1 2 3 3 4 5 −1 C. D. 4 4 y 3 3 2 2 1 y 1 x −5 −4 −3 −2 −1 1 2 3 4 x −3 −2 −1 1 −1 −1 −2 −2 −3 −3 −4 −4 2 20. Which is the graph of f ( x ) = 3 ( x − 2 ) + 1 ? 2 A. B. 7 5 y 6 4 5 3 4 2 3 1 x 2 −4 −3 −2 −1 1 −3 −2 1 −1 x −4 y −1 −2 1 −1 −3 C. D. 5 7 y 4 6 3 5 2 4 1 y 3 x −1 1 2 3 2 4 −1 −2 −3 1 x −1 1 −1 2 3 4 ...
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