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Please finish 2ABC, 5, And 4BThanks a lotTime remaining 1.3hrs Vista Virtual School Math 30-1 Unit 3/4 Assignment Summer 2023 The graph of y =

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Please finish 2ABC, 5, And 4BThanks a lotTime remaining 1.3hrs

image text in transcribed
Vista Virtual School Math 30-1 Unit 3/4 Assignment Summer 2023 The graph of y = f (x) is shown below. 1-08 disM loorial Jaunty etalv y $ 10 +5 y = 1(x ) -10 10 +-10 set to luth salom blugila . On the grid above, sketch the graph of y= f (x) +2. Show steps. (1 mark)so unsale b. Describe the transformation(s) that occurred. Use the appropriate terms (translation, reflection and/or stretch) and identify any relevant axis or line of reflection with its equation. (1 mark) C. Restrict the domain of y = f (x) so that the graph of y = f (x) is a function. State the restriction using interval notation. (1 mark) 5. Suppose that after entering the body, a substance is eliminated at a rate that can be modelled by the function C() = , where C is the concentration and t is time. Complete the following chart to match each separate scenario, following the exam shown for the first scenario. (3 marks) Scenario Transformed 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)=(3) right Instead of reducing the concentration of the substance to zero, the body reduces the concentration of the substance toward 2 units. The substance is eliminated at one half of the original rate. The initial concentration of the substance is tripled. 4. A Ferris wheel has an approximate height of 130 metres and a 120-metre diameter. a. If the wheel rotates every four minutes, draw a graph which represent the height of a cart, in metres, as a function of time in minutes. Assume that the cart is at its lowest position at t=0. Show three complete cycles. (1 mark) 130 m - height of ferris 60m wheel 170 m h(+) ?" t = D height after (t) time - h (+ ) 140 h(t) - 70- 60 Rose 9 . rotation 8 = wt 100 w angular 80 - speed t = time 60 W = QTTinolation "h ( +) . 70- 60 cos ( 217 /4 ) t 40 14 4 4 minutes / h ( t ) = 70 - 60 cos ( 5 / ) t 20 b. Determine a sine function that models the height of a cabin for the duration of the ride. Recall 14 that when the directing word "determine" is used, steps need to be shown and/or explained. Show a calculation or explain your process for finding each value a, b, c & d. Use radian values where applicable. (2 marks)

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