The path of a roller coaster over a particular length of track can be represented by a quadratic function f, where f(x) represen
ts the vertical displacement above or below a support bar (in meters), and x represents the horizontal displacement to the left or right of a flagpole (in meters). The roller coaster dips below the support bar for values of x between -2 and 1. Which function could represent f? A. f(x)=(x-2)^2+1
The roller coaster could be represented by the function for Choice D.
If you were to graph this function, you would find that the zeros (x-intercepts) of the function are at the points of -2 and 1. Those are the needed points in the problem.
Since this is a parabola that opens upward, the parabola must be below the axis (or support bar) between those values.
You are told that sprinklers run for the same amount of time. lets refer to this time as T. you are told that 4 sprinkles run one at a time for 50 minutes total. that means that T should be 50/4 = 12.5 minutes = 12 minutes and 30 seconds