document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1099398>Question 1099398</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Tutor please help me with Y=2x^+4x.. Draw a graph showing the coordinates of the turning point  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #713900 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=713900\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Y = 2x^2 + 4x<BR>\n" );
document.write( "A quadratic equation, min occurs on the axis of symmetry which we can find:<BR>\n" );
document.write( "x = -b/(2a), where a=2 and b=4<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-4%29%2F%282%2A2%29 ALIGN=MIDDLE  ALT=\"%28-4%29%2F%282%2A2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = -1 is axis of symmetry<BR>\n" );
document.write( "Find y when x=1<BR>\n" );
document.write( "y = 2(-1^2) + 4(-1)<BR>\n" );
document.write( "y = 2 - 4<BR>\n" );
document.write( "y = -2<BR>\n" );
document.write( "coordinates of the turning point -1,-2<BR>\n" );
document.write( "Graphing the equation shows the same thing\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-5%2C+5%2C+-5%2C+5%2C+2x%5E2%2B4x%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+300%2C+-5%2C+5%2C+-5%2C+5%2C+2x%5E2%2B4x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );