A.
−(x2−44x+484−484+384)
−(x−22)2+100
Vertex is (22,100)
Since the equation is in the form -(x-a)^2 +b, meaning the vertex is the maximum point of the curve.
Relating to the situation, it just means that 100 is the maximum profit and 22 is the corresponding number of combos sold
B. To get the x-intercepts, just factor it out.
x-int is (x,0)
so. 0=(x-32)(X-12)
x-intercepts are 12 and 32
in these points, f(x)=0 which means the profit is also zero.
Just a trick to check if we're correct, see how the the average of the 2 x-intercepts equates to the x of the vertex? since vertex can also correspond to the axis of symmetry Hopes this has helped at all
