document.write( "Question 57696This question is from textbook Elementary and Intermediate Algebra
\n" ); document.write( ": Find the vertex and intercepts for each parabola, and sketch its graph.
\n" ); document.write( "y= -x^2 -3x - 2 \n" ); document.write( "
Algebra.Com's Answer #39463 by stanbon(75887)\"\" \"About 
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Find the vertex and intercepts for each parabola, and sketch its graph.
\n" ); document.write( "y= -x^2 -3x - 2
\n" ); document.write( "Rewrite as :
\n" ); document.write( "-(x^2+3x+?=y+2+?
\n" ); document.write( "Complete the square to get:
\n" ); document.write( "-(x^2+3x+(3/2)^2)=y+2-(3/2)^2
\n" ); document.write( "Factor to get:
\n" ); document.write( "-(x+(3/2))^2=y-(1/4)
\n" ); document.write( "Vertex at (-(3/2),1/4)
\n" ); document.write( "------------
\n" ); document.write( "Intercepts:
\n" ); document.write( "Y-intercept-----
\n" ); document.write( "Let x=0 then y=2
\n" ); document.write( "This is the y-intercept.
\n" ); document.write( "---------
\n" ); document.write( "x-intercepts---------
\n" ); document.write( "Let y=0 then
\n" ); document.write( "-x^2-3x-2=0
\n" ); document.write( "x^2+3x+2=0
\n" ); document.write( "(x+2)(x+1)=0
\n" ); document.write( "x=-2 or x=-1\r
\n" ); document.write( "\n" ); document.write( "These are the x-intercepts.
\n" ); document.write( "-----------------
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H
\n" ); document.write( " \n" ); document.write( "
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