Graph Transformations and Their Effects

The video tutorial covers various transformations of graphs, including translations, stretches, and reflections. It explains how these transformations affect the function and its equation, with a focus on vertical and horizontal translations, stretches, and reflections across axes. The tutorial also discusses the importance of the order of transformations when combining them consecutively.

What is the primary focus of graph transformations?

• Altering the graph's thickness

• Shifting the graph on the XY plane

• Rotating the graph

• Changing the color of the graph

How is a vertical translation expressed in function terms?

• By adding a constant to the input

• By multiplying the input by a constant

• By adding a constant to the output

• By multiplying the output by a constant

What happens to a function when it undergoes a horizontal translation to the left?

• The input is increased by a constant

• The input is decreased by a constant

• The output is increased by a constant

• The output is decreased by a constant

What is the effect of a vertical stretch on a graph?

• It rotates the graph

• It shifts the graph horizontally

• It compresses the graph vertically

• It stretches the graph vertically

How does a reflection in the y-axis affect a function?

• It changes the sign of the output

• It changes the sign of the input

• It doubles the input

• It halves the output

Why is the order of transformations important?

• Because it changes the graph's orientation

• Because it affects the final position and shape of the graph

• Because it determines the graph's thickness

• Because it affects the final graph's color

What is a good strategy for understanding horizontal transformations?

• Ignoring the transformations

• Backtracking the transformations

• Focusing only on vertical transformations

• Changing the graph's color