Graphs of Quadratic Functions - ENGAGE NY Algebra I Module 1 Lesson 2

The video tutorial introduces quadratic functions, explaining that they include an X squared term and form parabolas when graphed. The instructor uses a practical example involving a rolling ball to demonstrate how to graph a quadratic function, focusing on time and elevation. The tutorial emphasizes understanding graph dynamics, such as changes in speed and elevation, and clarifies that the graph represents time versus elevation, not the ball's path. The video concludes with a brief mention of further learning resources.

What is a key feature of a quadratic function?

• It has an X squared term.

• It is a linear function.

• It has no variables.

• It is always a straight line.

What shape does the graph of a quadratic function typically take?

• A circle

• A straight line

• A triangle

• A parabola

In the video demonstration, what two factors are considered when creating the graph?

• Elevation and distance

• Distance and speed

• Time and speed

• Time and elevation

What happens to the speed of the ball as it rolls down the hill in the demonstration?

• It increases

• It remains constant

• It stops

• It decreases

Why should the graph not be a straight line?

• Because the ball moved in a circle

• Because the ball's speed was constant

• Because the ball's speed varied

• Because the ball did not move

What does the graph of the quadratic function represent in the context of the video?

• The actual path of the ball

• The time and elevation relationship

• The speed of the ball

• The distance traveled by the ball

What should be kept in mind when interpreting the graph of a quadratic function?

• It shows the exact path of the ball

• It is a comparison of time and elevation

• It is a depiction of distance

• It is a representation of speed