document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=138938>Question 138938</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please show me how to solve the quadratic equation, I need to get the vertex, axis of sym., and y-intercept to graph. \r<BR>\n" );
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document.write( "2y=X^2+4X+5\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #101360 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=101360\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I need to get the vertex, axis of sym., and y-intercept to graph. <BR>\n" );
document.write( "2y=X^2+4X+5 \r<BR>\n" );
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document.write( "Solve for y:<BR>\n" );
document.write( "y = (1/2)x^2 + 2x + (5/2)<BR>\n" );
document.write( "You have a quadratic with a= 1/2 ; b= 2, c= (5/2)<BR>\n" );
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document.write( "Vertex occurs at x = -b/2a = -2/(2(1/2)) = -2<BR>\n" );
document.write( "f(-2) = (1/2)(1/4) - 4 + 5/2 = -11/8<BR>\n" );
document.write( "Vertex at (-2,-11/8)<BR>\n" );
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document.write( "Axis of symmetry is a vertical line thru the vertex: x = -2<BR>\n" );
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document.write( "y-intercept at f(0) = (5/2)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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