Understanding Absolute Value Functions

What is the primary characteristic of an absolute value function?

• It contains an absolute value symbol.

• It is always quadratic.

• It has no vertex.

• It is always linear.

How is the vertex of a basic absolute value graph described?

• It is always at (1, 1).

• It is the highest point of the graph.

• It is the lowest point of the graph at (0, 0).

• It is always at (0, 1).

What does the axis of symmetry in an absolute value graph represent?

• A line that divides the graph into two unequal parts.

• A line that divides the graph into two identical halves.

• A line that is always horizontal.

• A line that is always vertical.

What happens to the graph of an absolute value function when it is translated vertically?

• It becomes a vertical line.

• It moves left or right.

• It becomes a horizontal line.

• It moves up or down.

How does a reflection over the y-axis affect an absolute value graph?

• It moves the graph to the left.

• It mirrors the graph across the y-axis.

• It flips the graph upside down.

• It stretches the graph vertically.

What does a positive 'a' value indicate about the shape of an absolute value graph?

• The graph is a happy face.

• The graph is a sad face.

• The graph is a circle.

• The graph is a straight line.

What is the effect of a horizontal shift on an absolute value graph?

• It changes the graph's shape.

• It moves the graph up or down.

• It reflects the graph over the x-axis.

• It moves the graph left or right.

How does a vertical stretch affect the graph of an absolute value function?

• It flips the graph upside down.

• It moves the graph to the right.

• It makes the graph narrower.

• It makes the graph wider.

What is the result of adding a negative value outside the absolute value function?

• The graph reflects over the x-axis.

• The graph becomes a straight line.

• The graph shifts upwards.

• The graph shifts to the left.

In the context of absolute value functions, what does a 'compression' refer to?

• The graph becomes a straight line.

• The graph becomes wider.

• The graph becomes narrower.

• The graph reflects over the y-axis.