Transformations and Function Notation

The video tutorial covers the slope-intercept form and how to graph linear equations using transformations. It explains different types of transformations, such as translation, dilation, and reflection, and demonstrates how to graph linear functions using the parent function y = x. The tutorial also introduces the Desmos website for exploring graph transformations interactively. Students are encouraged to download the Desmos app and prepare for an in-class activity on transformations.

What is the primary goal of using transformations in graphing linear equations?

• To create 3D graphs

• To eliminate the need for calculators

• To graph linear equations using the parent function y = x

• To make graphs more colorful

Which of the following is NOT a type of transformation?

• Translation

• Dilation

• Reflection

• Rotation

What does a translation transformation involve?

• Stretching the graph

• Rotating the graph

• Shifting the graph up or down

• Changing the color of the graph

How does a dilation transformation affect a graph?

• It shifts the graph left or right

• It flips the graph upside down

• It changes the graph's color

• It stretches or shrinks the graph

What is the result of a reflection transformation?

• The graph is stretched

• The graph is rotated

• The graph is shifted up

• The graph is flipped

What is the parent function used for comparison in linear equations?

• y = x + 1

• y = 2x

• y = x^2

• y = x

In the parent function y = x, what is true about the x and y values?

• They are always different

• They are always positive

• They are always negative

• They are always the same

What tool is suggested for exploring transformations of linear equations?

• Wolfram Alpha

• Microsoft Excel

• Desmos.com

• Google Sheets

What feature in Desmos allows you to make the graph line bold?

• Zoom feature

• Line thickness adjustment

• Color change

• Projector mode

What can you use sliders for in Desmos?

• To add text annotations

• To rotate the graph

• To adjust the slope and y-intercept

• To change the graph's color