What is the effect on the graph of the function f(x) = x2 when f(x) is changed to f(x − 6)?

Name the most appropriate metric unit for each measurement

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)

Find the vertex for the parabola given by the function ƒ(x) = −3x2 − 6x.