What allows a function to maintain similarity? How can you describe similar functions?

If f(x)= 3x+6 which of the following is the inverse of f(x)

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)

Write the equation for the graph with the vertex (-6,2) and focus (-7.25,2) a. (y-2)^2 = -5(x+6) b. (y+6)^2 = -5(x-2) c. (x+6)^2 = -5(y+2) d. (y-6)^2 = 5(x+6)