Arectangle is bounded by the x-axis and the semicircle y = √(36 – x^2). write the area a of the rectangle as a function of x, and determine the domain of the area function.

Which of the following transformations will make coincide with ? a. counter-clockwise rotation 90º about a, followed by a translation 5 units to the right b. translation 5 units to the right, followed by a reflection across the y-axis c. translation 5 units to the right, followed by a reflection across the x-axis d. translation 1 unit up and 5 units to the right, followed by a reflection across the x-axis