Algebra Nation. The graph of the quadratic function y=-x^2 -2x +3 is shown below. Which of theses talents are true? Select all that apply.
The graph has roots at 3 and 1.
The axis of symmetry is x = -1.
The graph has an x-intercept at (1,0).
The graph has a y-intercept at (-3,0).
The graph has a relative minimum at (-1,4).
The graph has a vertex at (-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)

Someone me what is the area of this figure? 18m 18m 8m 16m

Need match the functions with correct transformation. f(x) = -3x f(x) = |x-1|+3 f(x) = √(x+3) 1/2x² f(x) = (x+1)²-3 4|x| 1. compress by a factor of 1/2 2. stretch by a factor of 4 3. shift to the left 3 4. shift to the left 1 5. shift up 3 6. reflection