Question

PLEASE HELP!!!!! Algebra Question!!!

The function f(x) = –x^2 + 28x – 192 models the hourly profit, in dollars, a shop makes for selling sodas, where x is the number of sodas 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)

Answer 1

-x^2 so we know parabola is upside down,
vertex is maximum profit.
use x=-b/2a to find vertex.
x is number of sodas sold so x=0 is profit when no soda is sold.
use quadratic formula