Arectangle with vertices a(-3, 1), b(1, 3), c(2, 1), and d(-2, -1) is rotated 90° clockwise about the origin and then dilated by a factor of 3 with the origin as the center of dilation to obtain rectangle a′b′c′d′. which statement about the transformed rectangle a′b′c′d′ is true? the function f(x, y) = (-3y, 3x) models the transformation to obtain rectangle a′b′c′d′, and vertex c′ lies in the first quadrant. the function f(x, y) = (-3y, 3x) models the transformation to obtain rectangle a′b′c′d′, and vertex d′ lies in the second quadrant. the function f(x, y) = (3y, -3x) models the transformation to obtain rectangle a′b′c′d′, and vertex b′ lies in the fourth quadrant. the function f(x, y) = (3y, -3x) models the transformation to obtain rectangle a′b′c′d′, and vertex a′ lies in the third quadrant.