document.write( "Question 832: how do you graph and solve this quadratic equation\r
\n" ); document.write( "\n" ); document.write( "-x2 + 3x - 2 = 0 \n" ); document.write( "
Algebra.Com's Answer #285 by pushpaharan(47)\"\" \"About 
You can put this solution on YOUR website!
to graph you can either convert into vertex form or factored form.
\n" ); document.write( "lets do the vertex form\r
\n" ); document.write( "\n" ); document.write( "-x2 + 3x - 2 = 0
\n" ); document.write( "-1(x2 - 3x) - 2 = 0
\n" ); document.write( "-1(x2 - 3x+(3/2)^2-(3/2)^2) - 2 = 0
\n" ); document.write( "-1(x2 - 3x+(3/2)^2-9/4) - 2 = 0
\n" ); document.write( "-1((x-3/2)2 - 9/4) - 2 = 0
\n" ); document.write( "-(x-3/2)2 + 9/4 - 2 = 0
\n" ); document.write( "-(x-3/2)2 - 1/4 = 0
\n" ); document.write( "your vertex = (3/2,-1/4)
\n" ); document.write( "axis of symmetry is x=3/2\r
\n" ); document.write( "\n" ); document.write( "then draw the parabola.!!
\n" ); document.write( "oops it asked to solve too...
\n" ); document.write( "therefore its better use factored form
\n" ); document.write( "-x2 + 3x - 2 = 0
\n" ); document.write( "-1(x2 - 3x+ 2) = 0
\n" ); document.write( "x2 - 3x+ 2 =0
\n" ); document.write( "(x-1)(x-2)=0\r
\n" ); document.write( "\n" ); document.write( "therefore zeros are at x=2 and x=1
\n" ); document.write( "axis of symmetry => x= (2+1)/2 = 3/2\r
\n" ); document.write( "\n" ); document.write( "substitute the x=3/2 into the equation
\n" ); document.write( "-(3/2)^2+3(3/2)-2 =-1/4
\n" ); document.write( "vertex => (3/2,-1/4)\r
\n" ); document.write( "\n" ); document.write( "then draw the parabola.
\n" ); document.write( "solution's are x=2 and x=1\r
\n" ); document.write( "\n" ); document.write( "\"+graph%28+300%2C+300%2C+-1%2C+3%2C+-5%2C+5%2C+-x%5E2+%2B+3x+-+2+%29+\" \n" ); document.write( "
\n" );