Graph the following function over the interval[-2n, 2n]. Give the amplitude. y = 8cos (-x)

tan(0.2x - π)= -9

Given the function below, choose the statement that best represents its amplitude and period. + f(x) +5 X A. amp = undef; per = 4T B. amp = 2; per = 2T C. amp = undef; per = 2 D. amp = 2; per = 4T

A ferris wheel is 27 meters in diameter and completes 1 full revolution in 8 minutes. A ferris wheel is 27 meters in diameter and boarded from a platform that is 1 meter above the ground. The 6 o'clock position on the Ferris Wheel is level with the loading platform. Th wheel conpletes 1 full revolution in 8 minutes. The function h(t) gives a person's height in meters above the ground t minutes after the wheel begins to turn. a. Find the amplitude, midline, and period of h(t). Enter exact answers b. Assume that a person has just boarded Ferris wheel from the platform and that the Ferris Wheel starts spinning at time t=0. Find a formula for the height function h(t). Hints: •What is the value of h(0) • Is this the maximum value of h(t), the minimum value of h(t), or a value between the two? • The function sin(t) has a value between its maximum and minimum at t=0, so can h(t) be a straight sine function? • The function cos(t) has its maximum at t=0, so can h(t) be a straight cosine…

For the function y= 3 sin (2x-%), identify the amplitude, period, horizontal shift and vertical translation. Sketch TWO CYCLES of the graph of the function. Label the x-axis so that all of the "important points" are clearly identified. Amplitude Period Horizontal Translation Vertical Translation

Determine the amplitude, range, period, and phase shift and then sketch the graph of the function using the quarter points. y=-2 sin (-2x+3)-3 Which of the following functions is equivalent to y = - 2 sin (x - 17 ) - 3 O A. y 4 sin x- O C. y=-2 sin |2x - π n ( - 2x + 737) - 3² 3? 3 O B. y = -2 sin 2 sin (2x + 3) +3 O D. y=2 sin 2x- - 3

Plot the point(s) where tan = -√3

Use the given value to evaluate each function. 2 cos(t) = 3 (a) cos(r – t) (b) cos(t + #)