Math_112_Fall_2010.jkovalsky.Lesson_10_-_Transformations

Math_112_Fall_2010.jkovalsky.Lesson_10_-_Transformations -...

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Unformatted text preview: JORDAN KOVALSKY Math - 112 Spring 2010 WeBWorK Assignment Lesson 10 - Transformations Due Date: 09/29/2010 at 11:59pm CDT. The primary purpose of WeBWorK is to let you know that you are getting the correct answer or to alert you if you are making some kind of mistake. You can use the Feedback button on each problem page to send e-mail to the course instructors. 1. (1 pt) The right-hand column contains instructions for translating and / or reflecting the graph of y = f (x). Match each equation in the center column with an appropriate set of instructions in the right-hand column. (1) y = f (x + 2) + 4 (2) y = f (x + 4) + 2 (3) y = f (x - 2) + 4 (4) y = f (x - 2) - 4 (5) y = f (x + 2) - 4 (6) y = f (x - 4) + 2 (7) y = f (x - 4) - 2 (8) y = f (x + 4) - 2 (9) y = - f (x + 2) (10) y = - f (x - 2) (11). y = f (2 - x) (12) y = f (-x) + 2 (A) Translate left 2 units, then translate down 4 units. (B) Translate left 4 units, then translate up 2 units. (C) Translate right 4 units, then translate up 2 units. (D) Translate left 4 units, then translate down 2 units. (E) Translate right 4 units, then translate down 2 units. (F) Reflect in the y-axis, then translate up 2 units. (G) Reflect in the x-axis, then translate right 2 units. (H) Reflect in the x-axis, then translate left 2 units. (I) Translate left 2 units, then reflect in y-axis. (J) Translate right 2 units, then translate up 4 units. (K) Translate left 2 units, then translate up 4 units. (L) Translate right 2 units, then translate down 4 units. 2. (1 pt) Sketch a graph of the function y = x2 + 3. Turn in your graph to your instructor. 3. (1 pt) Sketch a graph of the function y = (x + 4)2 - 3. Turn in your graph to your instructor. 4. (1 pt) Sketch a graph of the function y = -x2 - 3. Turn in your graph to your instructor. 5. (1 pt) Sketch a graph of the function y = x - 3 + 1. Turn in your graph to your instructor. 6. (1 pt) Correct Answers: K B J L A C E D H G I F 1 Sketch a graph of the function y = -x + 3 + 2. Turn in your graph to your instructor. 7. (1 pt) Sketch a graph of the function y = - f (x - 5) given that f is defined as f (x) = |x|. Turn in your graph to your instructor. 8. (1 pt) Sketch a graph of the function y = F(x) + 3 given that F is defined as F(x) = 1/x. Turn in your graph to your instructor. 9. (1 pt) Complete the given table. x 0 1 2 3 -1 -2 -3 x2 (x - 1)2 (x + 1)2 10. (1 pt) Reflect the graph of y = x in the y-axis and then translate that 5 units to the left. What is the equation of the resulting graph? y= Hint : The answer is not y = -x + 5. 4 4 1 9 9 4 16 1 4 0 4 9 1 9 16 4 Using the results in the table, graph the functions y = x2 , y = (x - 1)2 , and y = (x + 1)2 on the same set of axes. How are the graphs related? Correct Answers: sqrt(-x - 5) 11. (1 pt) Correct Answers: 0 1 1 1 0 c Generated by the WeBWorK system WeBWorK Team, Department of Mathematics, University of Rochester Simplify 24a2 b2 = (2a)3 Correct Answers: 3*b^2/(a^1) 2 ...
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