document.write( "Question 22130: Graph the polynomial function.
\n" ); document.write( "f(x)=-3x(x+2)to the second power \n" ); document.write( "

Algebra.Com's Answer #11706 by rapaljer(4671) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"f%28x%29=-3x%28x%2B2%29%5E2\"$ \r
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\n" ); document.write( "\n" ); document.write( "This graph has roots (zeros or x-intercepts!) at x= 0 and at x= -2. If it were multiplied out, it would be basically a graph with degree (or order) of 3 and the leading coefficient is negative. This means that it will open up on the left, and down on the right, passing through the root at x= 0, and BOUNCING at x= -2, since (x+2) is raised to an even power (i.e., there is an even multiplicity of this root). All of this is theory of equations, but you can also graph it with a graphing calculator, and it should look like this:\r
\n" ); document.write( "\n" ); document.write( " $\"graph%28300%2C300%2C+-6%2C+6%2C+-10%2C10%2C-3x%2A%28x%2B2%29%5E2%29+\"$ \r
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\n" ); document.write( "\n" ); document.write( "R^2 at SCC \n" ); document.write( "

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