Transformations of Function Graphs

This video tutorial introduces function transformations, focusing on horizontal and vertical stretches and compressions. It explains how the values of 'A' and 'B' affect the graph of a function. The video provides examples using T tables to demonstrate vertical stretches and compressions when 'A' is greater than one or between zero and one. It also covers horizontal transformations, showing how 'B' affects the graph. The tutorial includes animations and examples to illustrate these concepts, helping viewers understand how to graph transformed functions.

What happens to the graph of a function when 'A' is greater than 1?

• It stretches horizontally.

• It stretches vertically.

• It compresses vertically.

• It compresses horizontally.

If 'A' is between 0 and 1, how does it affect the graph of a function?

• The graph compresses horizontally.

• The graph stretches horizontally.

• The graph compresses vertically.

• The graph stretches vertically.

How do you find the Y coordinates of a transformed function with the same X coordinates?

• Multiply each Y coordinate by 'A'.

• Divide each Y coordinate by 'A'.

• Divide each X coordinate by 'A'.

• Multiply each X coordinate by 'A'.

What is the effect on the graph of a function when 'B' is greater than 1?

• It stretches horizontally.

• It compresses horizontally.

• It compresses vertically.

• It stretches vertically.

When 'B' is between 0 and 1, what happens to the graph of a function?

• The graph stretches vertically.

• The graph compresses horizontally.

• The graph compresses vertically.

• The graph stretches horizontally.

How do you find the X coordinates of a transformed function with the same Y coordinates?

• Multiply each X coordinate by 'B'.

• Divide each X coordinate by 'B'.

• Divide each Y coordinate by 'B'.

• Multiply each Y coordinate by 'B'.

What is the parent function of F(X) = 3|X|?

• G(X) = 3X

• G(X) = |X|

• G(X) = X^2

• G(X) = X^3

How is the graph of F(X) = 3|X| transformed from its parent function?

• It is compressed vertically by a factor of 3.

• It is stretched horizontally by a factor of 3.

• It is stretched vertically by a factor of 3.

• It is compressed horizontally by a factor of 3.

What is the parent function of F(X) = √(2X)?

• G(X) = X^2

• G(X) = √X

• G(X) = 2X

• G(X) = X^3

How is the graph of F(X) = √(2X) transformed from its parent function?

• It is stretched horizontally by a factor of 2.

• It is compressed horizontally by a factor of 2.

• It is stretched vertically by a factor of 2.

• It is compressed vertically by a factor of 2.