$\"\"$

\

The equation is $\"\"$ .

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First find the minimum point of the graph.

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Since absolute value function can not be negative,

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the minimum point of the graph is where $\"\"$ . $\"\"$

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The original function is $\"\"$ .

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Set original function $\"\"$

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$\"\"$

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$\"\"$ (Subtract 2 from each side)

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$\"\"$ (Apply additive inverse property: $\"\"$ )

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$\"\"$ (Apply additive identity property: $\"\"$ ) $\"\"$

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Next make at table, fill out the table with values for $\"\"$ .

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\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \
\
$\"\"$
\
\
$\"\"$
\ \
$\"\"$
\
\
$\"\"$
\ \
$\"\"$
\
\
$\"\"$
\ \
4
\
\
0
\ \
3
\
\
1
\ \
2
\
\
2
\ \
3
\
\

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First, draw a co-ordinate plane.

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Locate the points on co-ordinate plane and draw the graph through these points.

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$\"absolute$

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Observe the graphs, both graphs have same shape and

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points on $\"\"$ are 2 units higher than and 1 unit right than the points on $\"\"$ .

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The graph of $\"\"$ is the graph of $\"\"$ and translated 2 units up and 1 unit right. $\"\"$

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The graph of $\"\"$ is the graph of $\"\"$ and translated 2 units up and 1 unit right.