CC-6 Graphing Absolute Value Functions

Use the sliders to manipulate f(x).
Investigating f(x) + k
How does moving the slider for [i]k[/i] affect the graph of [math]f\left(x\right)[/math]?
How does moving the slider for [i]k[/i] affect the function rule for [math]f\left(x\right)[/math]?
What value of [i]k[/i] gives the function rule [math]f\left(x\right)=\left|x\right|-2[/math]?
What function rule for [math]f\left(x\right)[/math] would have a graph that is moved 3 units up?
Investigating f(x - h)
How does moving the slider for [i]h[/i] affect the graph of [math]f\left(x\right)[/math]?
How does moving the slider for [i]h[/i] affect the function rule for [math]f\left(x\right)[/math]?
What value of [i]h[/i] gives the function rule [math]f\left(x\right)=\left|x-2\right|[/math]?
What function rule for [math]f\left(x\right)[/math] would have a graph that is moved 3 units to the left?
Investigating a*f(x)
How does moving the slider for [i]a[/i] affect the graph of [math]f\left(x\right)[/math]?
How does moving the slider for [i]a[/i] affect the function rule for [math]f\left(x\right)[/math]?
What value of [i]a[/i] gives the function rule [math]f\left(x\right)=2\left|x\right|[/math]?
What function rule for [math]f\left(x\right)[/math] 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 [i]a, h, [/i]and [i]k[/i] affect the graph of [math]g\left(x\right)[/math]?
Draw a star at the top of your paper.
How do the sliders affect the function rule for [math]g\left(x\right)[/math]?
How does the graph of [math]g\left(x-2\right)+3[/math] differ from the graph of [math]p\left(x\right)[/math]?
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Information: CC-6 Graphing Absolute Value Functions