Graphing an absolute value function with a reflection and horizontal shift

The video tutorial explains how to graph absolute value functions, starting with a basic definition and moving on to transformations such as reflection, stretching, compressing, and shifting. It covers how to apply these transformations to determine the new vertex and end behavior of the graph. The tutorial concludes with a demonstration of using the table method to find exact points on the graph.

What is the vertex of a basic absolute value function?

• (0, 0)

• (-1, -1)

• (2, 2)

• (1, 1)

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

• It reflects and stretches or compresses the graph.

• It changes the vertex position.

• It shifts the graph up or down.

• It shifts the graph left or right.

If the function is written as f(x) = |x + 2|, what is the horizontal shift?

• 2 units up

• No shift

• 2 units to the left

• 2 units to the right

What is the effect of a negative 'a' value on the graph of an absolute value function?

• The graph shifts upwards.

• The graph shifts downwards.

• The graph reflects over the y-axis.

• The graph reflects over the x-axis.

How do you determine the new vertex of a transformed absolute value function?

• By finding the midpoint of the graph.

• By using the original vertex and applying the transformations.

• By using only the 'a' parameter.

• By calculating the average of all points.