Algebra 2B | Unit 1 Practice Test | Graphs of Sinusoidal Functions Explain/show how to graph the function f (x) = sin ). 10) In the function f(x) = cosx, f(x) is multiplied by a factor of 3, x is replaced with 4x and 5 is added to the function. Explain the effects this has on the graph of the function (i.e. horizontally, vertically, compressed, stretched, etc.). 11) At a dock on the east coast, low tide occurs at 3 p.m. with a water depth of 5 ft. The depth at high tide is 83 ft. High tide occurs every 6 hours. Explain how to find the sinusoidal function that models the depth in terms of time, x. 12) The table of values shows the height of a car of a Ferris wheel as it travels in a circular motion. Time Height >If the car is loaded at 0 seconds, then the car is at the highest / lowest (seconds) (m) 0 5 height of the Ferris wheel. 1.25 30 The car makes a complete revolution in seconds. 2.5 55 3.75 30 The minimum height of the Ferris wheel is m and the maximum 5 5 height of the Ferris wheel is m. 6.25 30 The radius of the Ferris wheel is m. 7.5 55Algebra 2B | Unit 1 Practice Test | Graphs of Sinusoidal Functions 4) Explain/show how to find the amplitude of the function f(x) = -5 sin () - 1. 5) Explain/show how to find the equation of the midline for the function f (x) = -5 sin (=) - 1. 6) Explain/show how to find the frequency of the function f(x) = -5 sin () - 1. 7) Explain/show how to find the period of the function f (x) shown in the graph. WIN -21 8) Explain/show how to graph the function f(x) = -4 sin(x).Algebra 2B | Unit 1 Practice Test | Graphs of Sinusoidal Functions Name: Unit 1 Practice Test This test is worth 10 points. You MUST do the following to earn the points: Print out the practice test and write directly on the paper (you may use additional paper if necessary). Show work for each problem. If there is no work to show, explain your answer. . Check answers on provided answer key and make corrections before submitting. Note: The answer key will not include the explanations. 1) Enter in the box the minimum value for the function shown in the graph. Label it on the graph. 2) Graph a sine function whose amplitude is 3, period is it, midline is y = -2, and y-intercept (0, -2). The graph is not a reflection of the parent function over the x-axis. 7/4 3) The graph of f(x) = cos (x) is transformed to a new function, g(x), by reflecting it over the x-axis, stretching it horizontally by a factor of 3, and shifting it 4 units down. What is the equation of the new function g(x)? Show/explain how to find A, B, and C