Question: Please answer these questions it is sinusoidal function BK Exit Fullscreen Minds O con Skills -4:5 2. Your friend attempted to describe the transformations applied
Please answer these questions it is sinusoidal function



BK Exit Fullscreen Minds O con Skills -4:5 2. Your friend attempted to describe the transformations applied to the graph of y = sinn to give the equation ((x ) = sin (-=(2+30) ) + 1. They think the following transformations have been applied. Which transformations have been identified correctly, and which have not? Justify your answer. a) f(x) has been reflected vertically. b) f(x) has been stretched vertically by a factor of 2. c) f(x) has been stretched horizontally by a factor of 3. d) f(x) has a phase shift left 30 degrees. e) f(x) has been translated up 1 unit. 3. Describe in words, the transformations you would apply to f(r) = cost to produce g(x) = -3cos ( (2 + 45) ) -2. Click on the Submit Your Work link below to access the rubric for this activity. Submit Your Work Before you move on to the next activity, take a few minutes to revisit the learning skills checklist and make sure you acer A S P 64 A SyskarSyst Break inter Insert & 5 6 8 2 9 3 O 1/4 = 3/4 R OHK Exit Fullscreen Minds On Is at Skills 1. Your friend attempted to graph the equation f(x) - -2cos ( 3 (x -60) ) + 3. Based on their graph of the parent function (solid), and the transformed function (dashed) below, describe which transformations have been applied correctly, and which have not. Justify your answer. 0.5 180 315 360 -0.5 -1.5 acer A S P SysRa/Sys Pause % Breakinter Insert 5 6 & 8 2 3 O E 1/2 BA O D HMRExit Fullscreen ban Skills Minds On Goals 1. You are on the beach in Wasaga Beach, Ontario. At 2:00 PM on June 15th, the tide is high. At that time you find that the depth at the end of the pier is 1.5 meters. At 8:00 pm the same day, the tide is low, and you find that the depth of the water is 1.1 meters. Assuming the depth of the water varies sinusoidally with time: a) Identify the key features of the sinusoidal function, and use them to sketch a graph showing two tide cycles. b) Determine an equation to represent the tide in Wasaga Beach. c) Determine the height of the water at 11:00 PM the same day. d) Determine the first two times after high tide where the height of the water is 1.2 metres. 2. For the function identified below: a) state the key features for one cycle of the transformed function. b) identify the transformations being applied to the base function y = sin.x. c) sketch the transformed function. f (x) = --sin(2(x - 45)) - 3 Submit your screencasts to your teacher. Click on the Submit Your Work link below to access the rubric for this activity. Submit Your Work BO. acer A F10 SysRa/ SysI Break inter Insert A 5 6 7 8 9 3 O 1/4 1/2 3/4 E R P G
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