Exploring Absolute Value Functions

What is a parent function?

• A function that has no transformations.

• The simplest form in a set of functions that form a family.

• A function that is always linear.

• A function that is derived from another function.

What shape does the graph of an absolute value function typically have?

• A parabola

• A straight line

• A V-shape

• A U-shape

Where is the vertex of an absolute value function located?

• At the intersection of the x and y axes.

• At the origin of the graph.

• At the midpoint of the function.

• At the maximum or minimum value of the function.

What is the axis of symmetry in an absolute value function?

• A diagonal line that intersects the vertex.

• A horizontal line that divides the graph into two equal parts.

• A vertical line that divides the graph into two mirror images.

• A line that runs parallel to the x-axis.

What does the 'a' in the general formula y = a|x - h| + k represent?

• The slope of the right side of the graph.

• The y-coordinate of the vertex.

• The x-coordinate of the vertex.

• The axis of symmetry.

In the formula y = a|x - h| + k, what should you do with the 'h' value?

• Multiply by -1.

• Keep the sign.

• Ignore it.

• Switch the sign.

What is the first step in graphing an absolute value function?

• Graph the axis of symmetry.

• Locate and graph the vertex.

• Use the slope to graph the right side.

• Reflect the graph to the left side.

How do you determine the slope of the right side of an absolute value function?

• By finding the midpoint of the graph.

• By using the value in front of the absolute value symbol.

• By calculating the difference between the x and y coordinates.

• By looking at the y-intercept.

What is the vertex of the function y = |x - 2| + 0?

• (0, -2)

• (0, 2)

• (-2, 0)

• (2, 0)

In the function y = |x - 2| + 1, what is the y-coordinate of the vertex?

• -1

• 1

• 2

• -2