document.write( "Question 518220: Find the vertex, x and y intercepts of the parabola given by the equation
\n" ); document.write( "y= 3x2-2x+1 \n" ); document.write( "
Algebra.Com's Answer #345101 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
The vertex is at \"+-b%2F%282a%29+\"
\n" ); document.write( "\"+a+=+3+\"
\n" ); document.write( "\"+b+=+-2+\"
\n" ); document.write( "\"+x%5Bv%5D+=+-b%2F%282a%29+\"
\n" ); document.write( "\"+-b%2F%282a%29+=+-%28-2%29%2F%282%2A3%29+\"
\n" ); document.write( "\"+-b%2F%282a%29+=+1%2F3+\"
\n" ); document.write( "\"+y%5Bv%5D+=+3%2A%281%2F3%29%5E2+-+2%2A%281%2F3%29+%2B+1+\"
\n" ); document.write( "\"+y%5Bv%5D+=+1%2F3+-+2%2F3+%2B+3%2F3+\"
\n" ); document.write( "\"+y%5Bv%5D+=+2%2F3+\"
\n" ); document.write( "The vertex is at ( 1/3, 2/3 )
\n" ); document.write( "----------------------
\n" ); document.write( "y-intercept:
\n" ); document.write( "\"+y+=+3x%5E2+-+2x+%2B+1+\"
\n" ); document.write( "\"+y+=+3%2A0+-+2%2A0+%2B+1+\"
\n" ); document.write( "( 0,1)
\n" ); document.write( "-------------------
\n" ); document.write( "x-intercept:
\n" ); document.write( "\"+3x%5E2+-+2x+%2B+1+=+0+\"
\n" ); document.write( "Use quadratic formula
\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "\"+a+=+3+\"
\n" ); document.write( "\"+b+=+-2+\"
\n" ); document.write( "\"+c+=+1+\"
\n" ); document.write( "\"x+=+%28-%28-2%29+%2B-+sqrt%28+%28-2%29%5E2-4%2A3%2A1+%29%29%2F%282%2A3%29+\"
\n" ); document.write( "\"x+=+%28+2+%2B-+sqrt%28+4+-+12+%29%29+%2F+6+\"
\n" ); document.write( "\"+x+=+%28+2+%2B-+2%2Asqrt%282%29%2Ai+%29+%2F+6+\"
\n" ); document.write( "\"+x+=+%28+1+%2B-+sqrt%282%29%2Ai+%29+%2F+3+\"
\n" ); document.write( "There is no x-intercept, since both
\n" ); document.write( "roots are complx numbers
\n" ); document.write( "Here's a plot:
\n" ); document.write( "\"+graph%28+400%2C+400%2C+-4%2C+4%2C+-2%2C+10%2C+3x%5E2+-+2x+%2B+1%29+\" \n" ); document.write( "
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