I need help with 3b Module G-Assimilate and ApplyАрogeeYPerigee1. As a spacecraft orbits the earth, it is said to be at its apogee when it is farthest abovethe earth's surface and at its perigee when it is closest to the earth's surface. Thegraph below models the satellite's approximate distance in kilometers from the surfaceof the earth at time t minutes.kma. At what times is the satellite at its apogee? How far from the earth'ssurface is it at this time?960840720b. At what times is the satellite at its perigee? How far from the earth'ssurface is it at this time?600480C. State the period and amplitude of the function360240d. Write a cosine function that models the situation.120e. Write a sine function that models the situation.times (minutes)306090120 150 1802. Mark Twain sat on the deck of a river steamboat. As the paddlewheel turned, he noticed a dead fish caught on one ofthe paddles. AS the wheel turned, the distance, d, that the fish was from the water's surface was a sinusoidal functionof time. When his stopwatch read 4 seconds, the fish was at its highest, 16 feet above the water's surface. It tookanother 10 seconds before the fish reached that height again. The diameter of the wheel was 18 feet.a. Sketch a graph.b. Write an equation. Show work to support your answer.c. How far above the surface was the point when Mark's stopwatch read: 17 seconds. Show work to support youranswer3. For each function, give the domain, range, period, amplitude, max, min, and midline. Then sketch a well-labeledgraph.a. f(x) = -10 sin * – 610b. f(x) = -3 cos [4 (x -)+:Draw a careful graph of each function and describe its properties in detail.a. y = 2 tan nxb. y = 6 csc() +3Ci Y = sin1x4.

Question

Accepted Answer

Givenf(x)=-3cos[4(x-π8)]+2.

b. f(x) = -3 cos [4 (x -+ 2