Dentify the transformation that carries the figure onto itself. a) reflect across the line y = 2 and rotate 90° clockwise about (2, 4) b) reflect across the line y = 2 and rotate 360° clockwise about (2, 4) c) reflect across the line x = 2 and rotate 270° clockwise about (2, 4) d) reflect across the line x = 2 and rotate 540° clockwise about (2, 4)

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 0 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)