Graph Transformations and Effects

The video tutorial from Friendly Math 101 covers transformations of radical functions, focusing on the transformation equation. It explains how the A value affects vertical stretch, compression, and reflection across the x-axis. The H value indicates horizontal translation, while the K value shows vertical translation. Two examples are provided: one with a positive A value, demonstrating vertical stretch and translation, and another with a negative A value, showing reflection and compression. The lesson concludes with an invitation for questions and further learning.

What is the main topic of the lesson in Friendly Math 101?

• Linear Equations

• Probability and Statistics

• Transformations of Radical Functions

• Quadratic Functions

If the 'a' value is greater than 1, what happens to the graph?

• It is reflected across the y-axis

• It is vertically stretched

• It is vertically compressed

• It moves horizontally

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

• The graph is stretched vertically

• The graph is horizontally compressed

• The graph is reflected across the x-axis

• The graph is shifted upwards

How does the 'H' value affect the graph?

• It indicates horizontal translation

• It reflects the graph across the y-axis

• It determines the vertical stretch

• It affects the vertical compression

What does the 'K' value tell us about the graph?

• It shows horizontal translation

• It indicates vertical translation

• It reflects the graph across the x-axis

• It compresses the graph vertically

In the first example, what is the effect of a positive 'a' value of 3?

• The graph moves left

• The graph is reflected across the y-axis

• The graph is stretched vertically by a factor of 3

• The graph is compressed vertically

In the first example, how is the graph affected by an 'H' value of 4?

• The graph moves up 4 units

• The graph is compressed horizontally

• The graph moves right 4 units

• The graph moves left 4 units

What is the vertical translation in the first example with a 'K' value of 5?

• The graph is compressed vertically

• The graph moves down 5 units

• The graph is stretched horizontally

• The graph moves up 5 units

Why is the 'H' value interpreted as positive 4 in the first example?

• Because the equation has a minus sign

• Because the equation has a plus sign

• Because the graph moves down

• Because the graph moves left

In the second example, what does a negative 'a' value of -1/2 indicate?

• The graph is stretched vertically

• The graph is compressed vertically by a factor of 1/2

• The graph moves right

• The graph is reflected across the y-axis