7/1 7. Given the graph of the function f (x) = - ( *+1): -3 a. Give a step-by-step explanation of how to graph / (x) using transformations of the graph of J' = = . (2 marks) b. State the domain and range using set notation. (1 mark) 8. Suppose that after entering the body, a substance is eliminated at a rate that can be modelled by the function C(1) = - . where C is the concentration and t is time. Complete the following chart to match the scenarios as shown. (3 marks) Scenario Transforme Description of Transformation Equation A second substance delays the elimination of the first substance for 5 Horizontal translation 5 units units of time. c(1)=(2) right. Instead of reducing the concentration of the substance to zero, the body reduces the concentration of the substance toward 4 units The substance is eliminated at a third of the original rate. The initial concentration of the substance is doubled. 5. The graph of a function y = avb(x -h) + k is shown below. Algebraically determine two different equations to represent this function. Hint: One equation should have a horizontal stretch and the other a vertical stretch. (3 marks) X 1. The graph of f (x) = x -2 is transformed to y = f(x+1)+5. State the vertex of the graph of y = f (x) and determine the vertex of the graph of the transformed function. (Recall that when the directing word "determine" is used, appropriate formulas, procedures and/or calculations need to be shown). (1 mark) b. The point (-4,14) lies on the graph of y = f (x) . Determine the corresponding point on the transformed function. (1 mark) c. The point (0, 4) lies on the graph of the transformed function. Determine the corresponding point on the graph of the original function y = f (x). (1 mark)