Graphing Quadratic Equations: Vertex Form and Leading Coefficient

The video tutorial explains how to graph quadratic equations using vertex form and the leading coefficient. It begins with a rocket's height equation, demonstrating how to find its maximum height and when it returns to the ground. The tutorial covers completing the square, understanding the rate of change in parabolas, and the effect of the leading coefficient on a graph. It concludes by solving the rocket equation to determine its maximum height and time in the air.

Describe how the rate of change differs between a linear function and a quadratic function.

What are the coordinates of the vertex for the equation discussed in the lesson?

How long does it take for the rocket to come back down to the ground?