An answer is only 1 mark, your work is important! 1 ) The point (-5,9) is located on the graph of y = f(x). What is the image point after the transformations of the graph given below? (6 marks) a) y -1= 2f(x +2) b ) y = f ( -=x) -4 c) y =-Vf(x - 6) 2) Write equations for the following word statements. Complete all transformations in the order they are given. (6 marks) a) f(x) = (x+ 1)2 - 1 is translated up 3 units, horizontally stretched by a factor of %% then is reflected over the y-axis to give you g (x). Leave in standard form. PCx) = ( *+1) = 1 -> (x+1) 2+ 2 - 7 ( * * + 1 ) + 2 - ( - * * +1 ) + 2 = 9 ( x ) = ( - 14 * + 1 ) + 2 b) m(x) = -5x3 is reflected over the x-axis and stretched vertically by a factor of 5. The graph is then translated left 3 units and down 4 units to give you n(x). Leave in standard form. m(x) = - 5x5-7 5x3-7 5( 5x5) - 7 5 (5x 3 + 3) -7 5(5x 3 + 3) - 4 ~ ( x ) = 5 ( 5 x 3 + 3 ) - 42) Use the graph below to answer the following questions. (7 marks) o - 10 O a) Does the graph represent a function? Why or why not? Yes, all of these expressions touch the graph atonly one point if a vertical line is drawn at any given point. b) f ( 3 ) = - 4 c ) f ( 0 ) = - 4 d) f(x) = 6, then x = -8 if * is 3 , yis- 4. 14 x is 0, yis - 4 . If we draw a horizonta The lines - touch the graph at-4. line we will reach -8. e) For which value(s) of x, does f(x) not exist? If y is 6 , x is - 8. f ( x) does not exist for