Perform the method of transformations to find the transformed coordinates for the function below. Start with the 3 basic coordinates of (0,0), (2,2), (-2,2) for the basic parent function. Express your answers as coordinate points with round brackets and no spaces. f(x) = 212-2x| +5 The point (0,0) on the parent function transforms to the point on the new function f(x). The point (2,2) on the parent function transforms to the point on the new function f(x). The point (-2,2) on the parent function transforms to the point on the new function f(x).

+ 3. An amusement park is planning a new roller coaster. Part of it is to have the shape of the cosine function. The high and low points of this part differ by 24 meters and cover a horizontal distance of 40 meters from the high point to the low point. The low point is 6 meters below ground in a tunnel. Let y repre- sent the number of meters the track is above or below ground, and let x repre- sent the number of meters the track is horizontally from the high point. a. Sketch this situation. b. The equation y = 12 cos (4.5x) + 6 models the situation when x and y are in meters and 4.5 is in degrees per meter. Rewrite y = 12 cos (4.5x) + 6 as an equation for which the coefficient of x is in radians per meter. c. What is the length of a vertical support girder at the high point? At a dis- tance of 6 meters horizontally from the high point? At a distance of 20 meters horizontally from the high point? d. Measured horizontally, how far from the high point does the roller coaster enter the…

Find the range of the function

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