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. Determine the vertex, and explain what it means in the context of the problem.

step-by-step explanation:

*calories burned = (weight)(calorie factor)*

calories burned = 180 (0.65)

calories burned = 117

the calories he used up is 117, which is 65% of his weight.  

a reflection across line m

step-by-step explanation:

the first transformation is a 90 degree rotation counterclockwise around the point g. this gets to image gh'j'k'. when the image gh'j'k' is reflected over the line  m the result is g'h"j"k". the final transformation is a reflection over the line  m.