4. (08.02 hc) the function f(x) = −x2 + 44x − 384 models the daily profit, in dollars, a shop makes for selling cake ball combos, where x is the number of combos sold and f(x) is the amount of profit. part a: determine if this function has a maximum or a minimum value. how did you know? (2 points) part b: determine the vertex. what does this calculation mean in the context of the problem (hint: compare the profit they are making (f(x)) vs. the sales ( show your work for finding the vertex. (4 points) part c: determine the x-intercepts. what do these values mean in the context of the problem? show your work for finding the x-intercepts. (4 points)