document.write( "Question 173127: Sorry I sent the wrong question....:(\r
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Algebra.Com's Answer #127974 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
In order to graph $\"f%28x%29=4%5E%28x-3%29\"$ , we need to plot some points:\r
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\n" ); document.write( "\n" ); document.write( "Note: I'll use \"y\" in place of f(x)\r
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\n" ); document.write( "\n" ); document.write( "Let's find the y value when $\"x=0\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y=4%5E%28x-3%29\"$ Start with the given equation\r
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\n" ); document.write( "\n" ); document.write( " $\"y=4%5E%280-3%29\"$ Plug in $\"x=0\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y=4%5E%28-3%29\"$ Subtract\r
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\n" ); document.write( "\n" ); document.write( " $\"y=1%2F4%5E%283%29\"$ Flip the fraction to make the exponent positive\r
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\n" ); document.write( "\n" ); document.write( " $\"y=1%2F64\"$ Cube 4 to get 64\r
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\n" ); document.write( "\n" ); document.write( " $\"y=0.015625\"$ Divide.\r
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\n" ); document.write( "\n" ); document.write( "So when $\"x=0\"$ , then $\"y=0.015625\"$ \r
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\n" ); document.write( "\n" ); document.write( "Now let's find the y value when $\"x=1\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y=4%5E%28x-3%29\"$ Start with the given equation\r
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\n" ); document.write( "\n" ); document.write( " $\"y=4%5E%281-3%29\"$ Plug in $\"x=1\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y=4%5E%28-2%29\"$ Subtract\r
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\n" ); document.write( "\n" ); document.write( " $\"y=1%2F4%5E%282%29\"$ Flip the fraction to make the exponent positive\r
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\n" ); document.write( "\n" ); document.write( " $\"y=1%2F16\"$ Square 4 to get 16\r
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\n" ); document.write( "\n" ); document.write( " $\"y=0.0625\"$ Divide.\r
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\n" ); document.write( "\n" ); document.write( "So when $\"x=1\"$ , then $\"y=0.0625\"$ \r
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\n" ); document.write( "\n" ); document.write( "Now let's find the y value when $\"x=2\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y=4%5E%28x-3%29\"$ Start with the given equation\r
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\n" ); document.write( "\n" ); document.write( " $\"y=4%5E%282-3%29\"$ Plug in $\"x=2\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y=4%5E%28-1%29\"$ Subtract\r
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\n" ); document.write( "\n" ); document.write( " $\"y=1%2F4%5E%281%29\"$ Flip the fraction to make the exponent positive\r
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\n" ); document.write( "\n" ); document.write( " $\"y=1%2F4\"$ Raise 4 to the first power to get 4\r
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\n" ); document.write( "\n" ); document.write( " $\"y=0.25\"$ Divide.\r
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\n" ); document.write( "\n" ); document.write( "So when $\"x=2\"$ , then $\"y=0.25\"$ \r
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\n" ); document.write( "\n" ); document.write( "Now let's find the y value when $\"x=3\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y=4%5E%28x-3%29\"$ Start with the given equation\r
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\n" ); document.write( "\n" ); document.write( " $\"y=4%5E%283-3%29\"$ Plug in $\"x=3\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y=4%5E%280%29\"$ Subtract\r
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\n" ); document.write( "\n" ); document.write( " $\"y=1\"$ Raise 4 to the zeroth power to get 1\r
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\n" ); document.write( "\n" ); document.write( "So when $\"x=3\"$ , then $\"y=1\"$ \r
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\n" ); document.write( "\n" ); document.write( "Now let's find the y value when $\"x=4\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y=4%5E%28x-3%29\"$ Start with the given equation\r
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\n" ); document.write( "\n" ); document.write( " $\"y=4%5E%284-3%29\"$ Plug in $\"x=4\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y=4%5E%281%29\"$ Subtract\r
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\n" ); document.write( "\n" ); document.write( " $\"y=4\"$ Raise 4 to the first power to get 4\r
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\n" ); document.write( "\n" ); document.write( "So when $\"x=4\"$ , then $\"y=4\"$ \r
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\n" ); document.write( "\n" ); document.write( "Now let's find the y value when $\"x=5\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y=4%5E%28x-3%29\"$ Start with the given equation\r
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\n" ); document.write( "\n" ); document.write( " $\"y=4%5E%285-3%29\"$ Plug in $\"x=5\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y=4%5E%282%29\"$ Subtract\r
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\n" ); document.write( "\n" ); document.write( "So when $\"x=5\"$ , then $\"y=16\"$ \r
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\n" ); document.write( "\n" ); document.write( "So we have the following values:\r
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x	y
0	0.015625
1	0.0625
2	0.25
3	1
4	4
5	16

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\n" ); document.write( "\n" ); document.write( "Now let's plot these points\r
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\r
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\n" ); document.write( "\n" ); document.write( "Now draw a curve through those points to graph $\"f%28x%29=4%5E%28x-3%29\"$ \r
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