Please answer all questions and show work

1) Write an equation for the periodic function below. Be sure to identify the period, amplitude, and midline. 8 6 TH 2) Identify the period, amplitude, and midline from the given equation. Sketch the graph of the equation. y = 5 - 2 sin 2x 3) A ferris wheel is 30 meters in diameter and boarded at ground level. The wheel makes one full rotation every 8 minutes, and at time t=0 you are at the 12 o'clock position and descending. Let f(t) denote your height (in meters) above ground at t minutes. Find a formula for f(t). 4) Decompose the function into 2 functions, f(x) and g(x), such that f(g(x)) is the given function. 4-x 5) Find f(g(x)) and g(f(x)) for the given functions: /(x) = x3 + 1 g() =x