document.write( "Question 93226: I need some help I am having problems \r
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\n" ); document.write( "\n" ); document.write( "Graph the quadratic equation after completeing the given table of values. Y=-x^2+1\r
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\n" ); document.write( "\n" ); document.write( "Table of value is\r
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\n" ); document.write( "-2
\n" ); document.write( "-1
\n" ); document.write( "0
\n" ); document.write( "1
\n" ); document.write( "2\r
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\n" ); document.write( "\n" ); document.write( "Thank you \n" ); document.write( "

Algebra.Com's Answer #67856 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "We can start at any x value, so lets start at x=-2\r
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\n" ); document.write( "\n" ); document.write( "Lets find the value of y when $\"x=-2\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y=-x%5E2%2B1\"$ Start with the given polynomial\r
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\n" ); document.write( "\n" ); document.write( " $\"y=-%28-2%29%5E2%2B1\"$ Plug in $\"x=-2\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y=-4%2B1\"$ Evaluate $\"%28-2%29%5E2\"$ to get 4\r
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\n" ); document.write( "\n" ); document.write( " $\"y=-4%2B1\"$ Multiply -1 and 4 to get -4\r
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\n" ); document.write( "\n" ); document.write( " $\"y=-3\"$ Now combine like terms\r
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\n" ); document.write( "\n" ); document.write( "So when $\"x=-2\"$ , $\"y=-3\"$ \r
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\n" ); document.write( "\n" ); document.write( "-------Now lets find another point-------\r
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\n" ); document.write( "\n" ); document.write( "Lets find the value of y when $\"x=-1\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y=-x%5E2%2B1\"$ Start with the given polynomial\r
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\n" ); document.write( "\n" ); document.write( " $\"y=-%28-1%29%5E2%2B1\"$ Plug in $\"x=-1\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y=-1%2B1\"$ Evaluate $\"%28-1%29%5E2\"$ to get 1\r
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\n" ); document.write( "\n" ); document.write( " $\"y=-1%2B1\"$ Multiply -1 and 1 to get -1\r
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\n" ); document.write( "\n" ); document.write( " $\"y=0\"$ Now combine like terms\r
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\n" ); document.write( "\n" ); document.write( "So when $\"x=-1\"$ , $\"y=0\"$ \r
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\n" ); document.write( "\n" ); document.write( "-------Now lets find another point-------\r
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\n" ); document.write( "\n" ); document.write( "Lets find the value of y when $\"x=0\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y=-x%5E2%2B1\"$ Start with the given polynomial\r
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\n" ); document.write( "\n" ); document.write( " $\"y=-%280%29%5E2%2B1\"$ Plug in $\"x=0\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y=-0%2B1\"$ Evaluate $\"%280%29%5E2\"$ to get 0\r
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\n" ); document.write( "\n" ); document.write( " $\"y=0%2B1\"$ Multiply -1 and 0 to get 0\r
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\n" ); document.write( "\n" ); document.write( " $\"y=1\"$ Now combine like terms\r
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\n" ); document.write( "\n" ); document.write( "So when $\"x=0\"$ , $\"y=1\"$ \r
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\n" ); document.write( "\n" ); document.write( "-------Now lets find another point-------\r
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\n" ); document.write( "\n" ); document.write( "Lets find the value of y when $\"x=1\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y=-x%5E2%2B1\"$ Start with the given polynomial\r
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\n" ); document.write( "\n" ); document.write( " $\"y=-%281%29%5E2%2B1\"$ Plug in $\"x=1\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y=-1%2B1\"$ Evaluate $\"%281%29%5E2\"$ to get 1\r
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\n" ); document.write( "\n" ); document.write( " $\"y=-1%2B1\"$ Multiply -1 and 1 to get -1\r
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\n" ); document.write( "\n" ); document.write( " $\"y=0\"$ Now combine like terms\r
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\n" ); document.write( "\n" ); document.write( "So when $\"x=1\"$ , $\"y=0\"$ \r
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\n" ); document.write( "\n" ); document.write( "-------Now lets find another point-------\r
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\n" ); document.write( "\n" ); document.write( "Lets find the value of y when $\"x=2\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y=-x%5E2%2B1\"$ Start with the given polynomial\r
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\n" ); document.write( "\n" ); document.write( " $\"y=-%282%29%5E2%2B1\"$ Plug in $\"x=2\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y=-4%2B1\"$ Evaluate $\"%282%29%5E2\"$ to get 4\r
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\n" ); document.write( "\n" ); document.write( " $\"y=-4%2B1\"$ Multiply -1 and 4 to get -4\r
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\n" ); document.write( "\n" ); document.write( " $\"y=-3\"$ Now combine like terms\r
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\n" ); document.write( "\n" ); document.write( "So when $\"x=2\"$ , $\"y=-3\"$ \r
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\n" ); document.write( "\n" ); document.write( "Now lets make a table of the values we have calculated\r
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document.write( " x y
 -2 -3
 -1 0
 0 1
 1 0
 2 -3\r\n" );
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Now plot the points\r
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\n" ); document.write( "\n" ); document.write( "Now connect the points to graph $\"y=-x%5E2%2B1\"$ (note: the more points you plot, the easier it is to draw the graph)\r
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