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Laabri

Absolute Value

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Last updated about 3 years ago
27 Nsɛmmisa
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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!

Asemmisa {{asɛmmisaAhyɛnsode}}
1.

Solve:

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

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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.

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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)

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4.

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

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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)

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6.

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

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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)

Asemmisa {{asɛmmisaAhyɛnsode}}
8.

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

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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)

Asemmisa {{asɛmmisaAhyɛnsode}}
10.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
11.

Select the transformations for this graph:

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12.

Select the transformations for this graph:

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

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13.

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

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14.

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

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15.

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

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16.

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

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17.

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

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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

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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)

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20.

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

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21.

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

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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)

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23.

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

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24.

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

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25.

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

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

(x,y)

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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:

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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