Part 2

Interact with the app below by dragging the TWO LARGE POINTS. Then answer the questions that follow.

Suppose we graph the absolute value function [math]y=a\cdot\left|x\right|+k[/math]. [br][br]What does the value [math]k[/math] do to the graph? Explain.

Suppose we graph the absolute value function [math]y=a\cdot\left|x\right|+k[/math]. [br][br]What does the value [math]a[/math] do to the graph? Explain.

Check all the statements that are true for the absolute value function [math]y=a\cdot\left|x\right|+k[/math].

When [math]a[/math] is positive, the graph always opens down. When [math]k[/math] is negative, the graph always opens down. When [math]k[/math] is positive, the graph always opens down. When [math]a[/math] is negative, the graph always opens down.

Check all the statements that are true for the absolute value function [math]y=a\cdot\left|x\right|+k[/math].

When [math]k[/math] is negative, the graph always opens up. When [math]k[/math] is positive, the graph always opens up. When [math]a[/math] is negative, the graph always opens up. When [math]a[/math] is positive, the graph always opens up.

The graph of any absolute value function has a [b]sharp point. [/b][br]This [b]sharp point[/b] is also called the [b]vertex[/b] of the absolute value graph. [br][br]Check all the statements that are true for the absolute value function [math]y=a\cdot\left|x\right|+k[/math].

When [math]a[/math] is negative, the graph has a vertex above the xAxis. When [math]k[/math] is negative, the graph has a vertex above the xAxis. When [math]a[/math] is positive, the graph has a vertex above the xAxis. When [math]k[/math] is positive, the graph has a vertex above the xAxis.

Check all the statements that are true for the absolute value function [math]y=a\cdot\left|x\right|+k[/math].

When [math]a[/math] is positive, the graph has a vertex below the xAxis. When [math]k[/math] is positive, the graph has a vertex below the xAxis. When [math]a[/math] is negative, the graph has a vertex below the xAxis. When [math]k[/math] is negative, the graph has a vertex below the xAxis.

Part 2

Interact with the app below by dragging the TWO LARGE POINTS. Then answer the questions that follow.

Information: Part 2