document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=306854>Question 306854</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am very confused on how to find the vertex and points of a Parabola then when i graph it, the parabola always has a straight line on one side. How am I supposed to solve and graph 2x^2-13x-7=0? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #219531 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=219531\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First complete the square to get to vertex form,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2-13x-7=0 ALIGN=MIDDLE  ALT=\"2x%5E2-13x-7=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28x%5E2-%2813%2F2%29x%29-7=0 ALIGN=MIDDLE  ALT=\"2%28x%5E2-%2813%2F2%29x%29-7=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "To complete the square, take (1/2) of the x-coefficient, square it, and then add it to both sides. <BR>\n" );
document.write( "Since this is going on inside the parenthese, make sure to multiply by 2 to add the right hand value.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%2813%2F2%29=13%2F4 ALIGN=MIDDLE  ALT=\"%281%2F2%29%2813%2F2%29=13%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2813%2F4%29%5E2=169%2F16 ALIGN=MIDDLE  ALT=\"%2813%2F4%29%5E2=169%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28x%5E2-%2813%2F2%29x%2B169%2F16%29-7=2%28169%2F16%29 ALIGN=MIDDLE  ALT=\"2%28x%5E2-%2813%2F2%29x%2B169%2F16%29-7=2%28169%2F16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28x-%2813%2F4%29%29%5E2-7=169%2F8%29 ALIGN=MIDDLE  ALT=\"2%28x-%2813%2F4%29%29%5E2-7=169%2F8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28x-%2813%2F4%29%29%5E2-56%2F8-169%2F8=0%29 ALIGN=MIDDLE  ALT=\"2%28x-%2813%2F4%29%29%5E2-56%2F8-169%2F8=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28x-%2813%2F4%29%29%5E2-56%2F8-169%2F8=0%29 ALIGN=MIDDLE  ALT=\"2%28x-%2813%2F4%29%29%5E2-56%2F8-169%2F8=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28x-%2813%2F4%29%29%5E2-225%2F8=0%29 ALIGN=MIDDLE  ALT=\"2%28x-%2813%2F4%29%29%5E2-225%2F8=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now the equation is in vertex form.<BR>\n" );
document.write( "The vertex is (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13%2F4 ALIGN=MIDDLE  ALT=\"13%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-225%2F8 ALIGN=MIDDLE  ALT=\"-225%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( "The y-intercept, from the original equation is, -7.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+drawing%28+300%2C+300%2C+-3%2C+8%2C+-30%2C+10%2C+grid%281%29%2Ccircle%2813%2F4%2C-225%2F8%2C.2%29%2Cgreen%28line%2813%2F4%2C-50%2C13%2F4%2C50%29%29%2Cgraph%28+300%2C+300%2C+-3%2C+8%2C+-30%2C+10%2C+2x%5E2-13x-7%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Straight line on one side, what does that mean?<BR>\n" );
document.write( "The axis of symmetry makes a mirror of the graph. <BR>\n" );
document.write( "So then <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%2813%2F4%2B1%29=f%2813%2F4-1%29 ALIGN=MIDDLE  ALT=\"f%2813%2F4%2B1%29=f%2813%2F4-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%2813%2F4%2B2%29=f%2813%2F4-2%29 ALIGN=MIDDLE  ALT=\"f%2813%2F4%2B2%29=f%2813%2F4-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "So then you only have to solve for one of those y coordinates and you'll have both.  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );