You have worked with three forms of quadratic functions. Think about them and answer the following questions in 1. What are the different forms? 2. For each of the three forms, when would it be most convenient to have the function in that form? 3. Create a quadratic function in one of the forms and show how to convert it to another one of the three forms.

Apply the properties of functions to correctly determine and interpret the break-even point in the following situations, using valid mathematical procedures and correct mathematical notation. Express your answer in terms of the context of the problem. The total monthly income of a nursery school for caring for x children is given by r = 500x, and its total monthly costs are c = 280x + 2500. How many children need to enroll monthly to break even? In other words, when do revenues equal costs?

Complete the problems below. Consider the function f(x) = square root of 2-x.

1. Step-by-Step Answer 2. Thorough Explanation