The function f(x) = −x2 + 48x − 432 models the profit, in dollars, a game developer makes for selling a new game, where x is the number of games 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?

Question

The function f(x) = −x2 + 48x − 432 models the profit, in dollars, a game developer makes for selling a new game, where x is the number of games 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?

mathmale · Answer

How you approach this depends somewhat on what course you're in.
If you're in Algebra, the x-coord. of the vertex is given by x=-b/a, where a is the coefficient of the x^2 term and b is the coeff. of the x term.

If you're in calculus, take the derivative of the given function and set the result = to 0.  Solve the resulting equation for x.

rebeccaxhawaii · Answer

got it?