Graphing Absolute Value Functions and Transformations

What is the primary focus of the introductory lesson on absolute value functions?

• Using the TI-84 Plus CE graphing calculator

• Graphing absolute value functions

• Understanding the vertex of a parabola

• Graphing linear equations

What happens to the graph of an absolute value function if the 'a' value is greater than 1?

• The graph shifts to the right

• The graph becomes wider

• The graph becomes narrower

• The graph shifts to the left

If the 'a' value is between 0 and 1, what effect does it have on the graph?

• The graph becomes narrower

• The graph becomes wider

• The graph reflects over the x-axis

• The graph shifts upwards

What does the 'h' value in the absolute value function control?

• The x-coordinate of the vertex

• The direction of the graph

• The y-coordinate of the vertex

• The width of the graph

In the function f(x) = |x - 3| + 5, what is the vertex of the graph?

• (3, 5)

• (-3, -5)

• (-3, 5)

• (3, -5)

Where is the vertex of the parent function of an absolute value function?

• (1, 1)

• (0, 0)

• (-1, -1)

• (2, 2)

What is the shape of the graph of an absolute value function?

• U-shaped

• V-shaped

• S-shaped

• L-shaped

If the function is y = -|x - 2|, what transformation occurs?

• The graph shifts 2 units to the right

• The graph shifts 2 units to the left

• The graph reflects over the y-axis

• The graph reflects over the x-axis

In the function y = 2|x| - 1, what does the '2' indicate?

• The graph shifts upwards

• The graph shifts downwards

• The graph becomes narrower

• The graph becomes wider

What is the vertex of the function y = |x + 2| + 1?

• (2, 1)

• (-2, -1)

• (2, -1)

• (-2, 1)