document.write( "Question 90405: Find the corresponding y values for x = -4, -3, -2, -1, 0, 1, 2 if y = x^2 + 2x- 3. help this is not sinking in at all. \r
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Algebra.Com's Answer #65601 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
Lets find the value of y when $\"x=-4\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y=x%5E2%2B2x-3\"$ Start with the given polynomial\r
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\n" ); document.write( "\n" ); document.write( " $\"y=%28-4%29%5E2%2B2%28-4%29-3\"$ Plug in $\"x=-4\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y=%2816%29%2B2%28-4%29-3\"$ Raise -4 to the second power to get 16\r
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\n" ); document.write( "\n" ); document.write( " $\"y=%2816%29%2B-8-3\"$ Multiply 2 by -4 to get -8\r
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\n" ); document.write( "\n" ); document.write( " $\"y=5\"$ Now combine like terms\r
\n" ); document.write( "\n" ); document.write( "So when $\"x=-4\"$ , $\"y=5\"$ \r
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\n" ); document.write( "\n" ); document.write( "Lets find the value of y when $\"x=-3\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y=x%5E2%2B2x-3\"$ Start with the given polynomial\r
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\n" ); document.write( "\n" ); document.write( " $\"y=%28-3%29%5E2%2B2%28-3%29-3\"$ Plug in $\"x=-3\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y=%289%29%2B2%28-3%29-3\"$ Raise -3 to the second power to get 9\r
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\n" ); document.write( "\n" ); document.write( " $\"y=%289%29%2B-6-3\"$ Multiply 2 by -3 to get -6\r
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\n" ); document.write( "\n" ); document.write( " $\"y=0\"$ Now combine like terms\r
\n" ); document.write( "\n" ); document.write( "So when $\"x=-3\"$ , $\"y=0\"$ \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( " $\"y=x%5E2%2B2x-3\"$ Start with the given polynomial\r
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\n" ); document.write( "\n" ); document.write( " $\"y=%28-2%29%5E2%2B2%28-2%29-3\"$ Plug in $\"x=-2\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y=%284%29%2B2%28-2%29-3\"$ Raise -2 to the second power to get 4\r
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\n" ); document.write( "\n" ); document.write( " $\"y=%284%29%2B-4-3\"$ Multiply 2 by -2 to get -4\r
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\n" ); document.write( "\n" ); document.write( " $\"y=-3\"$ Now combine like terms\r
\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( " $\"y=x%5E2%2B2x-3\"$ Start with the given polynomial\r
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\n" ); document.write( "\n" ); document.write( " $\"y=%28-1%29%5E2%2B2%28-1%29-3\"$ Plug in $\"x=-1\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y=%281%29%2B2%28-1%29-3\"$ Raise -1 to the second power to get 1\r
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\n" ); document.write( "\n" ); document.write( " $\"y=%281%29%2B-2-3\"$ Multiply 2 by -1 to get -2\r
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\n" ); document.write( "\n" ); document.write( " $\"y=-4\"$ Now combine like terms\r
\n" ); document.write( "\n" ); document.write( "So when $\"x=-1\"$ , $\"y=-4\"$ \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( " $\"y=x%5E2%2B2x-3\"$ Start with the given polynomial\r
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\n" ); document.write( "\n" ); document.write( " $\"y=%280%29%5E2%2B2%280%29-3\"$ Plug in $\"x=0\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y=%280%29%2B2%280%29-3\"$ Raise 0 to the second power to get 0\r
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\n" ); document.write( "\n" ); document.write( " $\"y=%280%29%2B0-3\"$ Multiply 2 by 0 to get 0\r
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\n" ); document.write( "\n" ); document.write( " $\"y=3\"$ Remove any zero terms\r
\n" ); document.write( "\n" ); document.write( "So when $\"x=0\"$ , $\"y=-3\"$ \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( " $\"y=x%5E2%2B2x-3\"$ Start with the given polynomial\r
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\n" ); document.write( "\n" ); document.write( " $\"y=%281%29%5E2%2B2%281%29-3\"$ Plug in $\"x=1\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y=%281%29%2B2%281%29-3\"$ Raise 1 to the second power to get 1\r
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\n" ); document.write( "\n" ); document.write( " $\"y=%281%29%2B2-3\"$ Multiply 2 by 1 to get 2\r
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\n" ); document.write( "\n" ); document.write( " $\"y=0\"$ Now combine like terms\r
\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( " $\"y=x%5E2%2B2x-3\"$ Start with the given polynomial\r
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\n" ); document.write( "\n" ); document.write( " $\"y=%282%29%5E2%2B2%282%29-3\"$ Plug in $\"x=2\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y=%284%29%2B2%282%29-3\"$ Raise 2 to the second power to get 4\r
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\n" ); document.write( "\n" ); document.write( " $\"y=%284%29%2B4-3\"$ Multiply 2 by 2 to get 4\r
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\n" ); document.write( "\n" ); document.write( " $\"y=5\"$ Now combine like terms\r
\n" ); document.write( "\n" ); document.write( "So when $\"x=2\"$ , $\"y=5\"$ \r
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\n" ); document.write( "\n" ); document.write( "Now lets make a table \r
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document.write( " x y
 -4 5
 -3 0
 -2 -3
 -1 -4
 0 -3
 1 0
 2 5\r\n" );
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\n" ); document.write( "\n" ); document.write( "Notice if we graph $\"x%5E2%2B2x-3\"$ and plot the points we found earlier, we see that the points lie on the curve. So this verifies our answer.\r
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