Understanding Transformations and Functions

This video continues the exploration of square root function graphs, focusing on transformations. It explains the components of transformations, including horizontal and vertical translations, and how to apply them to graph functions. An example is provided to illustrate the process, and the use of a calculator is demonstrated to assist with graphing and determining domain and range.

What is the primary focus of this video?

• Exploring polynomial functions

• Learning about quadratic equations

• Understanding transformations of square root functions

• Examining the graphs of linear functions

What should you watch before this video for a better understanding?

• A video on linear functions

• A video on polynomial equations

• A video on quadratic transformations

• A video on identifying domain and range of square functions

What does 'H' represent in transformations?

• Vertical translation

• Reflection over the x-axis

• Stretching vertically

• Horizontal translation

What does a positive 'H' value indicate?

• Move up H units

• Move left H units

• Move down H units

• Move right H units

What does 'K' represent in transformations?

• Horizontal translation

• Vertical translation

• Reflection over the y-axis

• Stretching horizontally

What happens if 'a' is less than zero?

• The graph stretches horizontally

• The graph compresses vertically

• The graph reflects over the x-axis

• The graph reflects over the y-axis

What does a larger absolute value of 'a' indicate?

• The graph reflects over the y-axis

• The graph expands vertically

• The graph stretches horizontally

• The graph compresses vertically

In the example y = 3 * x - 4 + 2, what is the value of 'a'?

• 4

• 2

• 5

• 3

In the example y = 3 * x - 4 + 2, what is the value of 'h'?

• 5

• 4

• 3

• 2

In the example y = 3 * x - 4 + 2, what is the value of 'k'?

• 2

• 4

• 3

• 5