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Biblioteka

Absolute Value

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Posljednje ažuriranje about 3 years ago
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Fill in the "Absolute Value Transformations" Notes sheet as you work throught the rest of this Formative.

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

Pitanje 1
1.

Solve:

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

Pitanje 2
2.

Solve:

4|x-0.8|+5=1

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.

Pitanje 3
3.

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

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

(x,y)

Pitanje 4
4.

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

Pitanje 5
5.

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

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

(x,y)

Pitanje 6
6.

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

Pitanje 7
7.

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

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

(x,y)

Pitanje 8
8.

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

Pitanje 9
9.

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

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

(x,y)

Pitanje 10
10.

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

Pitanje 11
11.

Select the transformations for this graph:

Pitanje 12
12.

Select the transformations for this graph:

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

Pitanje 13
13.

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

Pitanje 14
14.

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

Pitanje 15
15.

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

Pitanje 16
16.

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

Pitanje 17
17.

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

Pitanje 18
18.

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

Pitanje 19
19.

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)

Pitanje 20
20.

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

Pitanje 21
21.

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

Pitanje 22
22.

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)

Pitanje 23
23.

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

Pitanje 24
24.

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

Pitanje 25
25.

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

Where is the vertex of y=-|x|?

(x,y)

Pitanje 26
26.

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:

Pitanje 27
27.

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