Graph Transformations and Effects

The video tutorial explains how to graph the function y = x^3 and apply transformations using parameters a, H, and K. It covers vertical stretching, horizontal and vertical shifts, and flipping the graph. The tutorial provides examples and sketches to illustrate these transformations, emphasizing the effects of each parameter on the graph's shape and position.

What is the primary function being discussed for graphing transformations?

• y = x^5

• y = x^2

• y = x^3

• y = x^4

How does the vertical stretch factor 'A' affect the graph?

• It shifts the graph horizontally.

• It flips the graph horizontally.

• It moves the graph up or down.

• It stretches or compresses the graph vertically.

If the horizontal shift 'H' is positive, in which direction does the graph move?

• Left

• Right

• Up

• Down

What does a positive 'K' value do to the graph?

• Moves it left

• Moves it right

• Moves it down

• Moves it up

What effect does a negative 'A' value have on the graph?

• It flips the graph upside down.

• It compresses the graph horizontally.

• It stretches the graph vertically.

• It moves the graph to the right.

What happens to the graph when 'A' is less than 1?

• It moves up.

• It flips horizontally.

• It stretches vertically.

• It shrinks vertically.

If 'H' is -3, in which direction is the graph shifted?

• Down 3

• Left 3

• Right 3

• Up 3

What is the result of combining a positive 'H' and a negative 'K'?

• The graph moves right and down.

• The graph moves left and up.

• The graph moves right and up.

• The graph moves left and down.

How does a negative 'H' value affect the graph's position?

• It moves the graph to the right.

• It moves the graph down.

• It moves the graph to the left.

• It moves the graph up.

What is the effect of a positive 'A' greater than 1?

• The graph shrinks vertically.

• The graph stretches vertically.

• The graph flips horizontally.

• The graph moves down.