document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=23687>Question 23687</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve the following quadratic equation. Any help or guidance you offer is greatly appreciated because I am very confused with these types of problems. \r<BR>\n" );
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document.write( "Find the vertex and intercepts for each quadratic function, and graph.\r<BR>\n" );
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document.write( "y = -x^2 + 2x + 3\r<BR>\n" );
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document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #12433 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=12433\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the vertex and intercepts for each quadratic function, and graph. <BR>\n" );
document.write( "y = -x^2 + 2x + 3 <BR>\n" );
document.write( "WRITE AS A SQUARE USING X^2 AND X TERMS<BR>\n" );
document.write( "Y=3-{(X^2-2*X*1+1^2)-1^2}<BR>\n" );
document.write( "Y=3-(X-1)^2+1=4-(X-1)^2<BR>\n" );
document.write( "SINCE (X-1)^2 IS A PERFECT SQUARE IT IS ALWAYS POSITIVE OR MINIMUM ZERO.SO WE GET A MAXIMUM VALUE FOR Y AT X=1..VALUE IS Y=4..THIS IS CALLED VERTEX.YOU CAN SEE IT IN THE GRAPH.<BR>\n" );
document.write( "INTERCEPTS MEAN WHERE THE CURVE CUTS THE AXES <BR>\n" );
document.write( "PUT X=0 AND FIND Y TO GET Y INTERCEPTS..WE GET Y=3 HENCE 3 IS THE Y INTERCEPT.<BR>\n" );
document.write( "PUT Y=0 AND FIND X TO GET X INTERCEPTS...WE GET 0=4-(X-1)^2<BR>\n" );
document.write( "(X-1)^2=4<BR>\n" );
document.write( "X-1=2....OR...X-1=-2<BR>\n" );
document.write( "X=3.....OR......-1...<BR>\n" );
document.write( "YOU CAN SEE IT FROM GRAPH GIVEN BELOW.<BR>\n" );
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