Exploring Function Transformations with Desmos

This video tutorial demonstrates how to use Desmos.com to explore function transformations. It explains how to set up Desmos for graphing, using sliders to adjust parameters a, b, c, and d, and observe their effects on the graph of a parent function. The tutorial covers setting initial values to match graphs, adjusting parameters, and reviewing notes on transformations, including reflections, vertical and horizontal stretches, compressions, and shifts.

What is the purpose of using Desmos in this video?

• To solve algebraic equations

• To explore function transformations

• To create statistical graphs

• To learn calculus concepts

Which function is used as the parent function in this tutorial?

• f(x) = 1/x

• f(x) = x^2

• f(x) = sqrt(x)

• f(x) = x^3

What is the first step to start graphing on Desmos?

• Click on 'Start Graphing'

• Enter the function equation

• Adjust the sliders

• Select the graph type

What is the range set for the sliders of parameters a, b, c, and d?

• From -10 to 10

• From -5 to 5

• From -2 to 2

• From -4 to 4

What values should a, b, c, and d be set to initially to make both graphs the same?

• a = 0, b = 1, c = 1, d = 1

• a = 1, b = 0, c = 1, d = 0

• a = 1, b = 1, c = 0, d = 0

• a = 0, b = 0, c = 0, d = 0

What feature can be used to make the graphs thicker for better visibility?

• Zoom mode

• Graph mode

• Projector mode

• Slider mode

What happens when you change the value of parameter 'a'?

• The graph reflects over the x-axis

• The graph shifts vertically

• The graph stretches or compresses vertically

• The graph shifts horizontally

Which parameter affects the horizontal stretch or compression of the graph?

• a

• d

• b

• c

What is the effect of changing parameter 'c'?

• Vertical stretch

• Horizontal shift

• Horizontal stretch

• Vertical shift

What type of transformation is associated with parameter 'd'?

• Horizontal stretch

• Vertical shift

• Reflection

• Horizontal shift