MODULE 2: Lesson 1 ASSIGNMENT Lesson 1: Radical Functions and Transformations The Module 2: Lesson 1 Assignment is wonh 13 marks. The value of each question is stated in the left hand margin. 1. Describe the transformations of the graph of y = xi: to obtain the graphs of the following functions. State the domain and range for each function. [2 marital a. y = 3-...I'x 2 [2 marks] b. y _ 4 = 4'5 [2 marks} 2. Explain how the parameters in the general transformed function equation y = ef {his bl) + k that 1you learned about in Module 1, compare to the parameters It\" still-bi. I mi] H which you have learned in this lesson? [3 marks} 3. 5. Graph x] = n'rJr en the grid below. After that1 describe the transfennatiena applied to fix] that will have to occur to create 511:} = 21"): ~ 4 +1 Then. graph gm. n'.2'.|ear[1.uI Ia bet both functions as you graph them. .II 24 ' ED 115 12 -12 -1 "E 24 (1 mark} b. State the domain and range of glx}, than compare to the domain and range of x]. Mathematics 30-1 Assignment Booklet 2 4. At the beginning of the lesson, the radical function S =15.9 \\ Lf was introduced, where 'S' is the speed of the vehicle in km/h, 'L' is the length of the skid marks in metres, and 'f is the coefficient of friction. The coefficient of friction for a particular road made of asphalt pavement is 0.80. The new function would be S = 15.9V/0.80L. (2 marks) a. Graph the function S=15.9V0.80L. Include labels and scales on your axes. (2 marks) b. State the domain and range. What do the restrictions mean in the context of this function being used for real-life applications? (1 mark) c. Use the graph to determine the approximate speed of the vehicle if the length of the skid marks is 20 m. Your method needs to be fully explained.(3 marks) 5. Given the function f(x) =3vx-1 What would be the equation of the function after the following transformations, 2f(2x +1)