Modeling with Quadratic Functions (1)

The graph shows the number y of students absent from school due to the flu each day x.

Write an equation of the parabola that represents the situation.

Mathematical Equivalence

ON

The graph shows the number y of students absent from school due to the flu each day x.

Predict the number of students absent on day 10.

The area of a rectangle is modeled by the graph where y is the area (in square meters) and x is the width (in meters). Write an equation of the parabola.

Mathematical Equivalence

ON

The area of a rectangle is modeled by the graph where y is the area (in square meters) and x is the width (in meters). Find the maximum area of the rectangle.

A ball is thrown upward from an initial height of 100 feet with an initial velocity of 80 feet per second.

a. Write an equation that represents the situation.

b. What will be the ball's maximum height?

c. How long would it take for the ball to reach its maximum height?