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Absolute Value

Last updated over 2 years ago
27 questions
1

Solve:
List your answers with a comma in between, for example: 8,9

1

Solve:
4|x-0.8|+5=1

Fill in the "Absolute Value Transformations" Notes sheet as you work throught the rest of this Formative.

The 'parent' absolute value graph is y=|x| with the vertex at (0,0) and a slope of \pm 1.

We will be relating all the graphs back to this one.

Sketch this graph on the blank coordinate plane at the top of your notes sheet.

1

Below is the graph of y=|x-2|. Copy this graph on your paper.



Where is the vertex of y=|x-2|?
(x,y)

1

Does subtracting inside the absolute value symbols shift the graph y=|x| up, down, left, or right?

1

Below is the graph of y=|x+2|.Copy this graph on your paper.


Where is the vertex of y=|x+2|?
(x,y)

1

Does adding inside the absolute value symbols shift the graph y=|x|up, down, right, or left?

1

Below is the graph of y=|x|-2. Copy this graph on your paper.


Where is the vertex of y=|x|-2?
(x,y)

1

Does subtracting outside the absolute value symbols shift the graph y=|x| up, down, right, or left?

1

Below is the graph of y=|x|+2. Copy this graph on your paper.


Where is the vertex of y=|x|+2?
(x,y)

1

Does adding outside the absolute value symbols shift the graph y=|x| up, down, right, or left?

1

Select the transformations for this graph:

1

Select the transformations for this graph:

Flip over your notes sheet and copy this down in the blank rectangle at the top:

1

Where is the vertex (x,y) for this graph:

1

Where is the vertex (x,y) for this graph:

1

Where is the vertex (x,y) for this graph:

1

Where is the vertex (x,y) for this graph:

1

Where is the vertex (x,y) for this graph:

1

Match each graph with its correct equation.

  • y=\left|x-1\right|-2
  • y=\left|x+1\right|+2
  • y=\left|x+2\right|-1
  • y=\left|x-2\right|+1
1

Below is the graph of y=2|x|. Copy this graph down on your paper.


Where is the vertex of y=2|x|?
(x,y)

1

Is the slope of y=2|x| still \pm 1?

1

Is the graph y=2|x| more narrow or more wide than the parent graph y=|x|?

1

Below is the graph y=1/2|x|. Copy this graph on your paper.


Where is the vertex of y=1/2|x|
(x,y)

1

Is the slope of y=1/2|x| still \pm 1?

1

Is the graph of y=1/2|x| more narrow or more wide than the parent graph y=|x|?

1

Below is the graph y=-|x|. Copy this graph on your paper.


Where is the vertex of y=-|x|?
(x,y)

1

How is the graph y=-|x| different from the parent function y=|x|?

Add the red notes on "a" to the rectangle at the top of your paper:

1

Match each graph with its correct equation.

  • y=-\left|x+3\right|+4
  • y=-3\left|x+4\right|+3
  • y=-\frac{1}{3}\left|x+3\right|+4
  • y=2\left|x+4\right|+1
  • y=\frac{1}{2}\left|x+4\right|+1
  • y=3\left|x-3\right|+4
  • y=\left|x-3\right|+4

Now graph the last equation on your paper and raise your hand when you're done!