Graph Transformations and Their Effects

The video tutorial by Adam covers the concepts of shifting and scaling graphs. It explains how adding or subtracting a constant value affects the vertical and horizontal positions of a graph. The tutorial also discusses vertical and horizontal scaling, detailing how multiplying a function by a constant can stretch or shrink the graph. The video provides examples to illustrate these transformations, helping viewers understand how functions change with different operations.

What is the primary focus of graph transformations discussed in the introduction?

• Drawing new types of graphs

• Shifting and scaling graphs

• Erasing parts of graphs

• Changing the color of graphs

What happens to a graph when a constant K is added to the function?

• The graph shifts to the left

• The graph shifts to the right

• The graph shifts upward

• The graph shifts downward

If a constant K is subtracted from a function, what is the effect on the graph?

• The graph shifts to the right

• The graph shifts to the left

• The graph shifts downward

• The graph shifts upward

How does adding a constant inside the function affect the graph?

• It shifts the graph upward

• It shifts the graph to the left

• It shifts the graph to the right

• It shifts the graph downward

What is the result of subtracting a constant inside the function?

• The graph shifts upward

• The graph shifts to the right

• The graph shifts to the left

• The graph shifts downward

What does multiplying a function by a constant greater than one do to the graph?

• It shifts the graph to the right

• It stretches the graph vertically

• It shrinks the graph vertically

• It shifts the graph to the left

What effect does multiplying a function by a constant between 0 and 1 have?

• It stretches the graph vertically

• It shifts the graph downward

• It shifts the graph upward

• It shrinks the graph vertically

How does multiplying inside the function by a constant greater than one affect the graph?

• It shifts the graph downward

• It moves the graph away from the x-axis

• It moves the graph closer to the x-axis

• It shifts the graph upward

What happens when you multiply inside the function by a constant between 0 and 1?

• The graph moves closer to the x-axis

• The graph shifts to the right

• The graph moves away from the x-axis

• The graph shifts to the left

What is the main difference between vertical and horizontal scaling?

• Vertical scaling affects the x-axis, horizontal scaling affects the y-axis

• Vertical scaling affects the y-axis, horizontal scaling affects the x-axis

• Both affect the x-axis

• Both affect the y-axis