08.11 Features of Trigonometric Graphs Part 1 Questions 1-10 of 10 | Page 1 of 1 Question 1 (5 points) The functions f and g are given by f(x) = cos(x and g(x) = cos(5x). How are the graphs of f and g related. G Question 2 (5 points) Here is a point at the tip of a windmill blade. The center of teh windmill is 6 feet off the ground and the blades are 1.5 feet long. Write an equation giving the height h of the point P after the windmill blade rotates by an angle of a. Point P is currently rotated n/4 radians from the point directly to the right of the center of the windmill.Question 3 (5 points) The equation y = 8 sin (0) + 20 models the vertical position, in feet above the ground, of a point at the end of a windmill blade. Indicate the height of the windmill and the length of the windmill blades. BIU Question 4 (5 points) The equation y = 5 sin (0) + 10 models the vertical position, in feet above the ground, of a point at the end of a windmill blade. Indicate the height of the windmill and the length of the windmill blades.Question 5 (5 points) The function f is given by f(0) = 6+ 5 cos(0 + n/2). Which of the following are true of f? Select all that apply. O a The amplitude of f is 6. The function f takes its maximum value when x = 0. O c The midline of f is 6. Od The graph of f is the same as the graph of g(0) = 6 + 5 cos(0) translated to the right by n/2. De The graph of f is the same as the graph of g(0) = 6 + 5cos(0) translated to the left by n/2. Question 6 (5 points) Which expression takes the same balue as cos(O) when @ = 0, n/2, n, and 3n/2? O a sin(0 - n/2) Ob sin(0 + n/2) OC sin(0 + n) Od sin(0 - n)Question 7 (5 points) Here is the graph of y = cos(x) 2n Here is the grpah of cos(2x) How do the two graphs compare?Question 8 (5 points) Here is a graph of a trigonometric function. Which equation could define this function? -21 O a y = 1.5sin(x) - 4 Ob y = 1.5cos(x) - 4 OC y = -4sin(1.5x) Od y = -4cos(1.5x)Question 9 (5 points) The equation y = 4 sin (0) + 15 models the vertical position, in feet above the ground, of a point at the end of a windmill blade. Indicate the height of the windmill and the length of the windmill blades. Question 10 (5 points) Select all the functions that have period n. O a y= cos(x/2) O b y = sin(x/2) c y= cos(x) O d y= cos(2x) De y= sin(2x)