document.write( "Question 173971This question is from textbook
\n" ); document.write( ": Can someone please be nice and show me step by step on this thank you so much\r
\n" ); document.write( "\n" ); document.write( "please plot the graph\r
\n" ); document.write( "\n" ); document.write( "Quadratic equation
\n" ); document.write( "x^2-5x+4\r
\n" ); document.write( "\n" ); document.write( "Polynomial equation
\n" ); document.write( "x + 7x^2 + 5 \n" ); document.write( "

Algebra.Com's Answer #128865 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
Table of Contents:\r
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\n" ); document.write( "\n" ); document.write( "Jump to Table\r
\n" ); document.write( "\n" ); document.write( "Jump to Graph\r
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\n" ); document.write( "\n" ); document.write( "In order to graph $\"y=x%5E2-5x%2B4\"$ , we need to plot some points.\r
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\n" ); document.write( "\n" ); document.write( "Let's find y when $\"x=0\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y=x%5E2-5x%2B4\"$ Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( " $\"y=%280%29%5E2-5%280%29%2B4\"$ Plug in $\"x=0\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=1%280%29-5%280%29%2B4\"$ Square $\"0\"$ to get $\"0\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=0-5%280%29%2B4\"$ Multiply $\"1\"$ and $\"0\"$ to get $\"0\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=0%2B0%2B4\"$ Multiply $\"-5\"$ and $\"0\"$ to get $\"0\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=4\"$ Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "So when $\"x=0\"$ , then $\"y=4\"$ .\r
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\n" ); document.write( "\n" ); document.write( "So we have the point

.\r
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\n" ); document.write( "\n" ); document.write( "Let's find y when $\"x=1\"$ :\r
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\n" ); document.write( "\n" ); document.write( " $\"y=x%5E2-5x%2B4\"$ Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( " $\"y=%281%29%5E2-5%281%29%2B4\"$ Plug in $\"x=1\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=1%281%29-5%281%29%2B4\"$ Square $\"1\"$ to get $\"1\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=1-5%281%29%2B4\"$ Multiply $\"1\"$ and $\"1\"$ to get $\"1\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=1-5%2B4\"$ Multiply $\"-5\"$ and $\"1\"$ to get $\"-5\"$ .\r
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\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"y=0\"$ Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "So when $\"x=1\"$ , then $\"y=0\"$ .\r
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\n" ); document.write( "\n" ); document.write( "So we have the point

.\r
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\n" ); document.write( "\n" ); document.write( "Let's find y when $\"x=2\"$ :\r
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\n" ); document.write( "\n" ); document.write( " $\"y=x%5E2-5x%2B4\"$ Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( " $\"y=%282%29%5E2-5%282%29%2B4\"$ Plug in $\"x=2\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=1%284%29-5%282%29%2B4\"$ Square $\"2\"$ to get $\"4\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=4-5%282%29%2B4\"$ Multiply $\"1\"$ and $\"4\"$ to get $\"4\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=4-10%2B4\"$ Multiply $\"-5\"$ and $\"2\"$ to get $\"-10\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=-2\"$ Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "So when $\"x=2\"$ , then $\"y=-2\"$ .\r
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\n" ); document.write( "\n" ); document.write( "So we have the point

.\r
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\n" ); document.write( "\n" ); document.write( "Let's find y when $\"x=3\"$ :\r
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\n" ); document.write( "\n" ); document.write( " $\"y=x%5E2-5x%2B4\"$ Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( " $\"y=%283%29%5E2-5%283%29%2B4\"$ Plug in $\"x=3\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=1%289%29-5%283%29%2B4\"$ Square $\"3\"$ to get $\"9\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=9-5%283%29%2B4\"$ Multiply $\"1\"$ and $\"9\"$ to get $\"9\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=9-15%2B4\"$ Multiply $\"-5\"$ and $\"3\"$ to get $\"-15\"$ .\r
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\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"y=-2\"$ Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "So when $\"x=3\"$ , then $\"y=-2\"$ .\r
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\n" ); document.write( "\n" ); document.write( "So we have the point

.\r
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\n" ); document.write( "\n" ); document.write( "Let's find y when $\"x=4\"$ :\r
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\n" ); document.write( "\n" ); document.write( " $\"y=x%5E2-5x%2B4\"$ Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( " $\"y=%284%29%5E2-5%284%29%2B4\"$ Plug in $\"x=4\"$ .\r
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\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"y=1%2816%29-5%284%29%2B4\"$ Square $\"4\"$ to get $\"16\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=16-5%284%29%2B4\"$ Multiply $\"1\"$ and $\"16\"$ to get $\"16\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=16-20%2B4\"$ Multiply $\"-5\"$ and $\"4\"$ to get $\"-20\"$ .\r
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\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"y=0\"$ Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "So when $\"x=4\"$ , then $\"y=0\"$ .\r
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\n" ); document.write( "\n" ); document.write( "So we have the point

.\r
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\n" ); document.write( "\n" ); document.write( "Let's find y when $\"x=5\"$ :\r
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\n" ); document.write( "\n" ); document.write( " $\"y=x%5E2-5x%2B4\"$ Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( " $\"y=%285%29%5E2-5%285%29%2B4\"$ Plug in $\"x=5\"$ .\r
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\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"y=1%2825%29-5%285%29%2B4\"$ Square $\"5\"$ to get $\"25\"$ .\r
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\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"y=25-5%285%29%2B4\"$ Multiply $\"1\"$ and $\"25\"$ to get $\"25\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=25-25%2B4\"$ Multiply $\"-5\"$ and $\"5\"$ to get $\"-25\"$ .\r
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\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"y=4\"$ Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "So when $\"x=5\"$ , then $\"y=4\"$ .\r
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\n" ); document.write( "\n" ); document.write( "So we have the point

Table of Values:

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document.write( "x y
0 4
1 0
2 -2
3 -2
4 0
5 4\r\n" );
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Graph:

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\n" ); document.write( "\n" ); document.write( "Now draw a curve through all of the points to graph $\"y=x%5E2-5x%2B4\"$ :\r
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Graph of $\"y=x%5E2-5x%2B4\"$ \n" ); document.write( "

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