The graphs below have the same shape. What is the equation of the blue graph? f(x)=x^2 g(x)= A. g(x)=(x-4)^2+2
B. g(x)=(x+4)^2-2
C. g(x)=(x+4)^2+2
D. g(x)=(x-4)^2-2

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 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)