Writing Quadratic Equations in Vertex Form

This lesson teaches how to find the maximum or minimum value of a quadratic function by converting it to vertex form. It explains the properties of quadratic functions, such as their graph being a parabola, and how the sign of the leading coefficient affects the function's maximum or minimum value. The lesson covers completing the square, common errors, and applies these concepts to a real-world problem involving a baseball's trajectory. By finding the vertex, students can determine the maximum height and time to reach it. The lesson concludes with a summary of key points.

What is the standard form of a quadratic function?

How can you determine if a quadratic function has a maximum or minimum value?

What is the significance of the vertex in a quadratic function?

Explain the process of completing the square for a quadratic function.

What are the maximum height and the time it takes for the baseball to reach that height?