Function g has the same a value as function f but its vertex is 2 units below and 3 units to the left. $(a) = x2 - 4x - 32

Write the vertex form of the equation modeling function g.

Nikolas calculated the volume of the prism. his work is shown below.

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)

Given δjkl : δxyz, find x. a)10 b)12 c)16 d)20