Enter Math 30-1: Module 1 Function Transformations Assignment Page 25 MODULE ASSESSMENT Lesson 4: Combining Transformations 1. The mapping (x,y) (x+h, ay + +k) Show can be used with the transformation of y = f(x) to y = af (b(x - 1)+k. Explain how this mapping could be used to graph the function y +2 = 7 (x - (x + 3)) from the graph of y = f(x). (4 marks) 7 3 y coordinate is stretched by a factor of 7 then 2 units down. & coordinate is stretched by a factor of a then moves 3 units left. a. b. h. k - 2 2. Determine the values of each parameter and then write an equation of the function as listed below: (5 marks each) (11 x +h, ay+k) y = g(x) y = f(x) (-5. 4) (-4,-1) (-2,-2) (-2,2) (2.5,-2) (1,2) (4.0) - (2.1) -6 -2 2 a) f(x) in terms of g(x) horizon Stetch b) g(x) in terms of f(x). g(x) = -1121 a(-1) + 2 4 = -2 a = a = b = b= h= h = k= 2 k = f(x) = -2f ( (x-)) g(x) = E-fc Math 30-1: Module 1 Function Transformations Assignment Examine the following two graphs. Page 23 3. GRAPH 1 GRAPH 2 y = g(x) g(x) -6 -4 -2 f(x) y = f(x) -4 2 h, ayk) (txth, a -6 y=ar [b(x-h)+K reflect y 6o h+ko a. Determine an equation for g(x) in terms of f(x). Write your answer in the form of g(x) = af(b(x - h)) + k and show all your steps to justify your answer. (4 marks each) GRAPH 1: (x, y) = ( texth, ay tk) (-6,5) (115) + (-6) + 0 = 1, b = -6 b=-6 a (5) + 0 = 5 ho K: g(x) = 1 f (-6) a1 GRAPH 2: Strecht a = 2 g(x) = 26 (-1/2 (x+3) (-2,3) (1.6) - + (-2) + hal 1-2 (-2)=h h:- WO a(3) + K = 6 Enter Math 30-1: Module 1 Function Transformations Assignment Page 25 MODULE ASSESSMENT Lesson 4: Combining Transformations 1. The mapping (x,y) (x+h, ay + +k) Show can be used with the transformation of y = f(x) to y = af (b(x - 1)+k. Explain how this mapping could be used to graph the function y +2 = 7 (x - (x + 3)) from the graph of y = f(x). (4 marks) 7 3 y coordinate is stretched by a factor of 7 then 2 units down. & coordinate is stretched by a factor of a then moves 3 units left. a. b. h. k - 2 2. Determine the values of each parameter and then write an equation of the function as listed below: (5 marks each) (11 x +h, ay+k) y = g(x) y = f(x) (-5. 4) (-4,-1) (-2,-2) (-2,2) (2.5,-2) (1,2) (4.0) - (2.1) -6 -2 2 a) f(x) in terms of g(x) horizon Stetch b) g(x) in terms of f(x). g(x) = -1121 a(-1) + 2 4 = -2 a = a = b = b= h= h = k= 2 k = f(x) = -2f ( (x-)) g(x) = E-fc Math 30-1: Module 1 Function Transformations Assignment Examine the following two graphs. Page 23 3. GRAPH 1 GRAPH 2 y = g(x) g(x) -6 -4 -2 f(x) y = f(x) -4 2 h, ayk) (txth, a -6 y=ar [b(x-h)+K reflect y 6o h+ko a. Determine an equation for g(x) in terms of f(x). Write your answer in the form of g(x) = af(b(x - h)) + k and show all your steps to justify your answer. (4 marks each) GRAPH 1: (x, y) = ( texth, ay tk) (-6,5) (115) + (-6) + 0 = 1, b = -6 b=-6 a (5) + 0 = 5 ho K: g(x) = 1 f (-6) a1 GRAPH 2: Strecht a = 2 g(x) = 26 (-1/2 (x+3) (-2,3) (1.6) - + (-2) + hal 1-2 (-2)=h h:- WO a(3) + K = 6
