The path of a ball kicked from the ground can be modeled by the equation y=−1/4(x−2)(x−22), where x and y are measured in feet. The x-axis represents the ground. How far does the ball land from where it is kicked?
+23245 The problem is to find the two zeros of the function and then find the distance between them.
First: multiply out the equation: y = -0.25(x - 2)(x - 22) = -0.25(x2 - 24x + 44)
Second: set this equation to zero and solve: 0.25(x2 - 24x + 44) = 0
Divide both sides by 0.25: x2 - 24x + 44 = 0
Factor: (x - 2)(x - 22) = 0
Find the zeros: x = 2 or x = 22
Third: find the distance between these two answers: (your turn)
