Question

The function f(x) = −x2 + 44x − 384 models the daily profit, in dollars, a shop makes for selling donut combos, where x is the number of combos sold and f(x) is the amount of profit. Part A: Determine the vertex. What does this calculation mean in the context of the problem? (5 points) Part B: Determine the x-intercepts. What do these values mean in the context of the problem

Answer 1

Vertex = -b/2a = -(44)/2(-1) = -44/-2 = 22
To find the x-intercepts, set the function equal to 0 and solve for x