Quadratic Functions and Football Hang Time

This lesson explains how the hang time of a football relates to the zeros of a quadratic function. It covers the properties of parabolas, including the axis of symmetry and vertex, and how to interpret graphs correctly. The lesson demonstrates calculating hang time using a quadratic equation and graphing the function to find the vertex and zeros. The key takeaway is understanding how to use quadratic functions to model real-world scenarios like football hang time.

What is the main focus of the lesson regarding the hang time of a football?

• The hang time of a football using quadratic functions

• The speed of a football

• The color of the football

• The distance a football travels

What shape does a quadratic function graph typically form?

• Triangle

• Square

• Parabola

• Circle

What are the x-intercepts of a quadratic function also known as?

• Zeros or roots

• Vertices

• Axes

• Symmetries

Why is it important to read the axis labels on a graph?

• To determine the size of the graph

• To understand what the graph is portraying

• To know the color of the graph

• To find the title of the graph

What does the vertical axis represent in the football hang time graph?

• Speed

• Height

• Distance

• Time

What is the initial velocity of the football in the given function?

• 90 feet per second

• 70 feet per second

• 80 feet per second

• 60 feet per second

What does the term -16t^2 in the function represent?

• Wind speed

• Force of gravity

• Air resistance

• Initial velocity

What are the zeros of the function f(t) = -16t^2 + 80t?

• 1 and 5

• 2 and 5

• 0 and 4

• 0 and 5

Where is the vertex of the parabola located in the graph?

• At (0, 0)

• At (5, 100)

• At (2.5, 100)

• At the origin

What is the hang time of the football according to the function?

• 3 seconds

• 4 seconds

• 5 seconds

• 6 seconds