Graph Transformations and Properties

The video tutorial explains different graph shapes, such as V, U, and S graphs, and how to identify them. It covers graph transformations, including stretching, compressing, and reflecting over the x-axis. The tutorial also discusses shifting graphs and identifying focus points. Finally, it demonstrates how to represent these transformations in equations, using parameters like a, h, and k.

What shape does the graph of an absolute value function resemble?

• A circle

• A V

• A U

• An S

Which graph is described as looking like a U?

• Linear

• Absolute value

• Cubic

• Quadratic

What does the cubic graph resemble?

• A U

• An S

• A line

• A V

How can you tell if a graph has been stretched?

• Over 1, down 1

• Over 1, up 3

• Over 1, up 1/3

• Over 1, up 1

What indicates that a graph has been compressed?

• Over 1, up 1

• Over 1, up 3

• Over 1, down 1

• Over 1, up 1/3

What does a negative 'a' value indicate about a graph?

• It is shifted right

• It is compressed

• It is stretched

• It is reflected over the x-axis

What does the 'H' value represent in graph transformations?

• Vertical shift

• Vertical stretch

• Horizontal shift

• Reflection

What is the focus point in a graph without a vertex?

• The midpoint

• The lowest point

• The highest point

• The origin

How is a shift to the left represented in the equation?

• Positive K

• Negative H

• Negative K

• Positive H

What does a negative K value indicate?

• Shift down

• Shift right

• Shift up

• Shift left