Graphing Quadratic Functions and Desmos

This lesson demonstrates how to use Desmos to graph linear and quadratic functions, adjust the viewing window, and find points of intersection, which represent solutions to systems of equations. The tutorial covers entering equations, adjusting graph settings, and interpreting intersection points.

What is the purpose of finding points of intersection when graphing two functions?

• To determine the slope of the functions

• To calculate the area under the curve

• To find the solutions to the system of equations

• To identify the y-intercepts

Which website is used to graph the functions in this lesson?

• Wolfram Alpha

• Desmos

• Khan Academy

• GeoGebra

What is the first step in graphing a function on Desmos?

• Enter the equation in a cell

• Reposition the graph

• Adjust the window size

• Find the intersection point

How can you manually adjust the graph window in Desmos?

• By entering new equations

• By clicking the wrench icon and setting intervals

• By dragging the graph

• By clicking the plus button

What is the ordered pair of the intersection point for the linear equations given in the example?

• (0, 0)

• (7, 24)

• (3, 3)

• (5, 11)

What type of functions are graphed in the second example?

• Linear functions

• Exponential functions

• Logarithmic functions

• Quadratic functions

Which key is used to enter an exponent in Desmos?

• Shift + 6

• Ctrl + 2

• Alt + 3

• Shift + 8

How can you reposition the graph in Desmos?

• By clicking the plus button

• By clicking and holding the graph

• By entering new equations

• By adjusting the window size

What is the approximate y-coordinate of the first intersection point for the quadratic functions?

• 1.551

• 2.102

• 6.405

• 0.000

What is the approximate x-coordinate of the second intersection point for the quadratic functions?

• 0.000

• 1.551

• 6.405

• -2.119