Jen is investigating a quadratic function g(x). She writes four different forms of the function, as shown below.

Select the form that reveals the maximum value of g(x) without having to be rewritten.
A.
g(x=–2(x–6)(x–2))
B.
g(x)=–2(x–4)2+8
C.
g(x)=–2x2+16x–24
D.
g(x)=–2(x2–8x+12)

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)