# CC-6 Graphing Absolute Value Functions

- Author:
- Stuart Fortier

## Use the sliders to manipulate f(x).

## Investigating f(x) + k

How does moving the slider for ?

*k*affect the graph ofHow does moving the slider for ?

*k*affect the function rule forWhat value of ?

*k*gives the function ruleWhat function rule for would have a graph that is moved 3 units up?

## Investigating f(x - h)

How does moving the slider for ?

*h*affect the graph ofHow does moving the slider for ?

*h*affect the function rule forWhat value of ?

*h*gives the function ruleWhat function rule for would have a graph that is moved 3 units to the left?

## Investigating a*f(x)

How does moving the slider for ?

*a*affect the graph ofHow does moving the slider for ?

*a*affect the function rule forWhat value of ?

*a*gives the function ruleWhat function rule for would have a graph with slope of -3 on the right side of the V-shape?

## Use the sliders to manipulate g(x).

## Investigating a*g(x - h) + k

How do the sliders ?

*a, h,*and*k*affect the graph ofDraw a star at the top of your paper.

How do the sliders affect the function rule for ?

How does the graph of differ from the graph of ?