Question 1 {7' points} A nail is caught in the tread of a rotating tire. As the tire rotates, the height of a nail can be represented by a sinusoidal function graphed below. The tire has a diameter of a 42 cm and at the driver's current speed, the tire is rotating 24 times every minute. height [cm] a. Label the scale and key points on the graph above. {1 mark} b. State the amplitude. period, and equation of the midline. [2 marks) c. Is there a phase shift for the function representing the scenario above? Explain why or why not. (2 marks) cl. Determine a function of the form oft} = asinfbt +c) + d, where n represents the height of the nail. in centimeters, above the ground and t represents the time, in seconds, after driver starts driving. (2 marks)