The vertex of this parabola is at (5, -4). which of the following could be its equation?

a. y = 2(x - 5)^2 + 4

b. y = 2(x - 5)^2 - 4

c. y = 2(x + 5)^2 + 4

d. y = 2(x + 5)^2 - 4

Solve this and show you’re work step by step ! -5 3/4+3h< 9 1/4 -

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)

What is the volume of this container?