Can you please answer this question for my exam prep!! Thank you so much!!

4. Sketch y = 2 cos(x-45) +1 for one cycle. 45 90 135 180 225 270 315 360 405 450 495 540 585 630 675 720 13 5. The diameter of a car's tire is 54 cm. While the car is being driven, the tire picks up a nail. a) Model (find an equation) for the height of the nail above the ground in terms of the distance the car has traveled since the tire picked up the nail. b) How high above the ground will the nail be after the car has traveled 0.5km? Page 5 9 + 137. Given the function y = = x - 1, a) Sketch the graphs of the function and its inverse. /4 10 8 6-4 6810 b) Does the inverse represent a function? c) Determine the expression for the inverse as a function