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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?
Part B: Determine the x-intercepts. What do these values mean in the context of the problem?

Respuesta :

well you can find the line of symmetry of the parabola and substitute it into the equation to find the max value, since the parabola is concave down

this is the vertex ( line of Symmetry, Max Value)

for a parabola [tex]ax^2 +bx + c[/tex]

you havae a = -1 and b = 44

the line of symmetry is [tex]x = \frac{-b}{2a} [/tex]

when you get the line of symmtery substitute it to get the max value which is the y value in the vertex
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