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? (5 points)
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i found the vertex and the x intercept but i just need help with the second part
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@welshfella ?? plz bro
sorry gotta go right now
@Griffindore anything on this
the x-intercepts are where f(x) = 0 i.e. where the profit is zero.
it is where they break even
what about the vertex
@SolomonZelman can u help
The vertex of a parabola that opens down, is the maximum point of the parabola.
In this case, the maximum point is the maximum daily possible profit.
the vertex in a form of (h,k):
k - the maximum possible daily profit
h - how many combos do you have to sell to reach this max. profit.
the vertex can be found by completing the square.
in other words
the y-value of the vertex - the maximum possible daily profit
the x-value of the vertex - how many combos do you have to
sell to reach this max. profit.
I am probably going to be gone right now, but I will do my best to be on track with you here.