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

The video tutorial covers the movement of a ball and its graphical representation over time. It explains how the ball's elevation changes as it rolls down a ramp, and how to analyze this using a graph. The tutorial includes a discussion on the rate of change and its calculation, as well as answering related questions. The video concludes with a summary of the key points discussed.

What is the independent variable in the graph discussed in the video?

• Speed

• Time

• Distance

• Elevation

How does the graph change if the ball is stopped from rolling forward?

• The graph shows an increase in speed.

• The graph shows a decrease in elevation.

• The graph shows a decrease in time.

• The graph remains unchanged.

What is the estimated change in elevation of the ball from 0 to 0.5 seconds?

• 15 inches

• 5 inches

• 11 inches

• 10 inches

What is the rate of change in elevation from 1 to 1.5 seconds?

• Negative 2

• Negative 1

• Negative 10

• Negative 5

At what point is the speed of the ball the fastest?

• At the beginning of the journey

• Near the top of the ramp

• Near the bottom of the ramp

• In the middle of the ramp

How does the speed of the ball relate to the slope of the graph?

• The steeper the slope, the slower the speed.

• The slope is constant regardless of speed.

• The slope does not affect speed.

• The steeper the slope, the faster the speed.

What does a flat horizontal line on the graph indicate about the ball's motion?

• The ball is accelerating.

• The ball is decelerating.

• The ball is at a constant elevation.

• The ball is changing direction.