## Math Problem Statement

An empty can is thrown off the roof of a building and lands on the road. The can’s height after it was thrown is given by the equation: H(t) = (t + 2)(5 – t) where t is time in seconds Sketch the graph to show the path of the can When does the can land on the road? After how many seconds is the can again at the same height as the roof? Over which set of t-values is the graph an increasing function? What is the maximum height reached by the can?

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Quadratic Equations

Graphing Functions

Maximum and Minimum Values

### Formulas

Quadratic equation form: ax^2 + bx + c

Vertex formula for quadratic functions

### Theorems

Properties of quadratic functions

### Suitable Grade Level

Grades 9-12

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