Understanding Parametric Equations with Desmos

This video tutorial demonstrates how to use Desmos to graph a curve defined by parametric equations. It covers setting up the equations in Desmos, adjusting graph settings, and using sliders to visualize the graph's orientation. The tutorial also explains how to plot specific points and complete a table of values for given t-values, providing a comprehensive guide to understanding and visualizing parametric equations.

What is the purpose of using parametric equations in this lesson?

• To solve algebraic equations

• To find the area under a curve

• To define a group of quantities as functions of parameters

• To calculate derivatives

Which tool is used to graph the parametric equations in this lesson?

• Wolfram Alpha

• Microsoft Excel

• Google Sheets

• Desmos

What is the first step in entering parametric equations into Desmos?

• Adjusting the graph window

• Creating a slider

• Entering the equations as an ordered pair

• Changing the color of the graph

How can you adjust the graph window in Desmos?

• By dragging the graph

• By changing the color

• By entering new equations

• By using the slider

What is the purpose of creating a slider in Desmos?

• To enter new equations

• To change the color of the graph

• To adjust the graph window

• To visualize the orientation of the graph

What variable is used to create a slider for visualizing graph orientation?

• d

• c

• a

• b

How do you use the slider to observe the graph's orientation?

• By adjusting the graph window

• By changing the graph color

• By dragging the slider to change the value of a

• By entering new equations

What is the x-value when t is 0 according to the table of values?

• 2

• 10

• 0

• 4

Which variable is used to plot specific points on the graph?

• a

• d

• b

• c

What is the final step in summarizing the graph information?

• Changing the graph color

• Creating a slider

• Plotting specific points

• Adjusting the graph window