Understanding Absolute Value Function Transformations

The video tutorial explains how to graph an absolute value function by identifying the parameters a, h, and k, which transform the basic function. It covers the effects of these parameters on the graph, including vertical stretching and shifts. The tutorial provides a step-by-step guide to graphing by hand and verifies the results using animation and graphing software.

What is the standard form of an absolute value function?

• y = a|x - h| + k

• y = a(x + h) - k

• y = a|x + h| - k

• y = a(x - h) + k

How does a positive 'a' value affect the graph of an absolute value function?

• It compresses the graph horizontally.

• It shifts the graph to the right.

• It shifts the graph to the left.

• It stretches the graph vertically.

If 'a' is 3, what happens to the graph of the absolute value function?

• The graph is compressed vertically.

• The graph is shifted up.

• The graph is stretched vertically.

• The graph is shifted down.

What is the value of 'h' if the equation is y = 3|x + 2| - 4?

• -4

• 2

• -2

• 4

How does a negative 'h' value affect the graph?

• It shifts the graph to the right.

• It shifts the graph to the left.

• It shifts the graph down.

• It shifts the graph up.

What is the effect of a negative 'k' value on the graph?

• The graph shifts up.

• The graph shifts down.

• The graph shifts left.

• The graph shifts right.

What is the vertex of the function y = 3|x + 2| - 4?

• (2, 4)

• (-2, -4)

• (-2, 4)

• (2, -4)

What is the slope of the graph to the right of the vertex after transformation?

• 1

• -3

• -1

• 3

How can you verify the graph of an absolute value function?

• By using a protractor.

• By using a table of values.

• By using a calculator.

• By using a ruler.

What should be the position of 'h' in a table of values for graphing?

• At the end of the table.

• It doesn't matter.

• At the start of the table.

• In the middle of the table.