Transformations in Functions

The video tutorial covers transformations of functions, including vertical and horizontal stretches, reflections, translations, and inverse functions. It explains the order of transformations, how to identify invariant points, and the use of graphing and mapping notation. The tutorial emphasizes understanding the effects of parameters on function transformations and provides guidance on using graphing calculators.

What are the parameters used for transformations in functions?

• a, b, h, k

• m, n, o, p

• x, y, z, w

• p, q, r, s

What does a vertical stretch by a factor of 'a' imply?

• Vertical stretch

• Vertical compression

• Horizontal compression

• Horizontal stretch

If 'a' is negative in a vertical stretch, what additional transformation occurs?

• Horizontal stretch

• Vertical reflection

• Horizontal reflection

• No change

What is the effect of a positive 'a' value in a vertical stretch?

• Vertical compression

• Vertical stretch

• Horizontal stretch

• Horizontal compression

What is the effect of a negative 'a' value in a vertical stretch?

• Horizontal stretch

• No change

• Horizontal reflection

• Vertical reflection

What is the effect of a positive 'a' value in a vertical stretch?

• Horizontal stretch

• Horizontal compression

• Vertical compression

• Vertical stretch

What is the effect of a negative 'a' value in a vertical stretch?

• Horizontal stretch

• Vertical reflection

• Horizontal reflection

• No change

What is the horizontal stretch factor if b = 1/3?

• 1/3

• 3

• 2

• 1

What is the effect of a horizontal stretch on the x-values?

• Decreases

• Increases

• Reflects

• No effect

What is the effect of a negative 'b' value in a horizontal stretch?

• Vertical reflection

• Vertical stretch

• Horizontal reflection

• No change