Part 3

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

Suppose you graph the absolute value function [math]y=a\cdot\left|x-h\right|+k[/math]. [br][br]Which of the following causes the vertex of this function to lie in quadrant I?

[math]h>0[/math] and [math]k>0[/math] [math]h>0[/math] and [math]k<0[/math] [math]h<0[/math] and [math]k<0[/math] [math]h<0[/math] and [math]k>0[/math]

Suppose you graph the absolute value function [math]y=a\cdot\left|x-h\right|+k[/math]. [br][br]Which of the following causes the vertex of this function to lie in quadrant II?

[math]h>0[/math] and [math]k<0[/math] [math]h<0[/math] and [math]k<0[/math] [math]h<0[/math] and [math]k>0[/math] [math]h>0[/math] and [math]k>0[/math]

Suppose you graph the absolute value function [math]y=a\cdot\left|x-h\right|+k[/math]. [br][br]Which of the following causes the vertex of this function to lie in quadrant III?

[math]h>0[/math] and [math]k<0[/math] [math]h<0[/math] and [math]k<0[/math] [math]h>0[/math] and [math]k>0[/math] [math]h<0[/math] and [math]k>0[/math]

Suppose you graph the quadratic function [math]y=a\cdot\left|x-h\right|+k[/math]. [br][br]Which of the following causes the vertex of this function to lie in quadrant IV?

[math]h<0[/math] and [math]k<0[/math] [math]h>0[/math] and [math]k>0[/math] [math]h<0[/math] and [math]k>0[/math] [math]h>0[/math] and [math]k<0[/math]

Suppose we transform the graph of the parent function [math]y=\left|x\right|[/math] to become [math]y=a\cdot\left|x-h\right|+k[/math]. [br]Which of the following statements, in general, are true? Check all that apply.

Changing [math]a[/math] can cause the parent graph to open up or down Changing [math]a[/math] causes the graph to shift up and/or down. Changing [math]h[/math] can cause the parent graph to open up or down Changing [math]a[/math] causes the graph to shift left and/or right. Changing [math]k[/math] can cause the parent graph to open up or down Changing [math]k[/math] causes the graph to shift up and/or down. Changing [math]h[/math] causes the graph to shift left and/or right. Changing [math]h[/math] causes the graph to shift up and/or down. Changing [math]k[/math] causes the graph to shift left and/or right.

Part 3

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

Information: Part 3