Question 1023687
Write the expression for when you translate the graph of 
y = |0.5x -2|+3
a)  one unit up
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Add <font color="red"><b>+1</b></font> to the right side:

y = |0.5x -2|+3<font color="red"><b>+1</b></font>

y = |0.5x -2|+4
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b)  one unit down
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Add <font color="red"><b>-1</b></font> to the right side:

y = |0.5x -2|+3<font color="red"><b>-1</b></font>

y = |0.5x -2|+2
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c)  one unit to the left
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Replace x by <font color="red"><b>(x+1)</b></font> 

y = |0.5<font color="red"><b>(x+1)</b></font> -2|+2

y = |0.5x+0.5-2|+2

y = |0.5x-1.5|+2
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d)  one unit to the right
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Replace x by <font color="red"><b>(x-1)</b></font> 

y = |0.5<font color="red"><b>(x-1)</b></font> -2|+2

y = |0.5x-0.5-2|+2

y = |0.5x-2.5|+2

Edwin</pre>