The expression -\frac(x-b)^2c represents a mathematical function where x is a variable, b is a constant, and c is a positive constant. The term (x-b)^2 indicates the square of the difference between x and b, which means it measures how far x is from b. Squaring this difference ensures that the result is always non-negative. The negative sign in front of the fraction indicates that the function will produce negative values, creating a downward-opening parabola when graphed. This type of function is often used in various fields, including physics and economics, to model situations where a maximum value is reached at a specific point, such as the peak of a hill or the highest profit point in a business scenario.