document.write( "Question 30056: I need to determine the following for these two problems :HOW MANY X-INTERCEPTS THE PARABOLA HAS, and WHETER ITS VERTEX LIES ABOVE OR BELOW OR ON THE X-AXIS.\r
\n" ); document.write( "\n" ); document.write( "1.problem
\n" ); document.write( "y=x^2-5x+6\r
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\n" ); document.write( "\n" ); document.write( "2.problem
\n" ); document.write( "y=-x^2+2x-1 \n" ); document.write( "
Algebra.Com's Answer #16805 by venugopalramana(3286)\"\" \"About 
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I need to determine the following for these two problems :HOW MANY X-INTERCEPTS THE PARABOLA HAS, and WHETER ITS VERTEX LIES ABOVE OR BELOW OR ON THE X-AXIS.
\n" ); document.write( "1.problem
\n" ); document.write( "y=x^2-5x+6
\n" ); document.write( "PUT Y=0 AND SOLVE FOR X TO GET X INTERCEPTS.
\n" ); document.write( "X^2-5X+6=0=X^2-2X-3X+6=0=X(X-2)-3(X-2)=0=(X-2)(X-3)=0....X=2 AND 3...
\n" ); document.write( "SO THE X INTERCEPTS ARE AT X = 2 AND X = 3
\n" ); document.write( "Y=X^2-5X+6={X^2-2*X*5/2+(5/2)^2}-(5/2)^2+6 =(X-2.5)^2 - 0.25
\n" ); document.write( "SO THE VERTEX IS AT X=2.5 AND Y=-0.25...THAT IS BELOW X AXIS \r
\n" ); document.write( "\n" ); document.write( "2.problem
\n" ); document.write( "y=-x^2+2x-1
\n" ); document.write( "DOING THE SAME WAY WE GET
\n" ); document.write( "Y=-(X-1)^2=0 AND HENCE
\n" ); document.write( " X INTERCEPTS ARE X=1
\n" ); document.write( "AND VERTEX IS AT X=1 AND Y=0 SO THE VERTEX IS ON THE X AXIS.
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