Transformations of Linear Functions with Desmos

The video tutorial covers transformations of linear functions using the Desmos graphing calculator. It begins with a review of function notation, explaining horizontal and vertical changes. The linear parent function is graphed, and transformations such as vertical and horizontal translations, dilations, and reflections are demonstrated. The tutorial emphasizes how these transformations affect the slope and y-intercept of the function.

What does the notation 'f(x)' represent in a function?

• The output or y-coordinate

• The type of function

• The input or x-coordinate

• The graph of the function

What happens to the graph of a function when you add a positive constant outside the function?

• It shifts to the right

• It shifts upwards

• It becomes steeper

• It shifts downwards

Adding a positive constant inside the parentheses of a function notation results in which type of shift?

• Left

• Right

• Up

• Down

What does a negative y-intercept indicate about the graph of a function?

• It crosses the y-axis below the origin

• It does not cross the y-axis

• It is parallel to the y-axis

• It crosses the y-axis above the origin

What happens to the graph when you subtract a number from x inside the function's parentheses?

• Shifts up

• Shifts right

• Shifts left

• Shifts down

What effect does multiplying a function by a number greater than one have on its graph?

• Vertical compression

• Horizontal stretch

• Vertical stretch

• Reflection

What type of transformation occurs when the function is multiplied by a fraction less than one?

• Reflection

• Vertical compression

• Horizontal compression

• Vertical stretch

If a function's graph does not change its y-intercept but the slope increases, what transformation has likely occurred?

• Horizontal shift

• Reflection

• Translation

• Vertical stretch

What is the result of making the function negative in terms of transformation?

• Vertical compression

• Horizontal shift

• Reflection over the x-axis

• Vertical stretch

Which transformation does not alter the slope of a linear function?

• Vertical compression

• Translation

• Reflection

• Vertical stretch