document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1135161>Question 1135161</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello I am graphing the vertex and axis of symmetry and I understand how to find it, but how about when the vertex is a fraction? How would I graph the vertex?  (if x and y are in fraction form)  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #752718 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=752718\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The axis of symmetry always passes through the vertex of the parabola . The -coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+a+x%5E2+%2B+b+x+%2B+c ALIGN=MIDDLE  ALT=\"y+=+a+x%5E2+%2B+b+x+%2B+c\"   DISABLED_style= \"max-width:90%; height:auto;\" > , and in vertex form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=a%28x-h%29%5E2%2Bk ALIGN=MIDDLE  ALT=\"y=a%28x-h%29%5E2%2Bk\"   DISABLED_style= \"max-width:90%; height:auto;\" > the axis of symmetry is a vertical line <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-b%2F+2a ALIGN=MIDDLE  ALT=\"x+=+-b%2F+2a\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "example:\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%5E2-x%2B1 ALIGN=MIDDLE  ALT=\"y=x%5E2-x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" >....use vertex form to find coordinates\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28x%5E2-x%2Bb%5E2%29-b%5E2%2B1 ALIGN=MIDDLE  ALT=\"y=%28x%5E2-x%2Bb%5E2%29-b%5E2%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28x%5E2-x%2B%281%2F2%29%5E2%29-%281%2F2%29%5E2%2B1 ALIGN=MIDDLE  ALT=\"y=%28x%5E2-x%2B%281%2F2%29%5E2%29-%281%2F2%29%5E2%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28x-1%2F2%29%5E2-1%2F4%2B1 ALIGN=MIDDLE  ALT=\"y=%28x-1%2F2%29%5E2-1%2F4%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28x-1%2F2%29%5E2-1%2F4%2B4%2F4 ALIGN=MIDDLE  ALT=\"y=%28x-1%2F2%29%5E2-1%2F4%2B4%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28x-1%2F2%29%5E2%2B3%2F4 ALIGN=MIDDLE  ALT=\"y=%28x-1%2F2%29%5E2%2B3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=1%2F2 ALIGN=MIDDLE  ALT=\"h=1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=3%2F4 ALIGN=MIDDLE  ALT=\"k=3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > and vertex is at (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F4 ALIGN=MIDDLE  ALT=\"3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+drawing%28+600%2C+600%2C+-5%2C+5%2C+-5%2C+5%2C%0D%0A%0D%0Acircle%281%2F2%2C0%2C.05%29%2Ccircle%280%2C1%2F4%2C.05%29%2Ccircle%280%2C2%2F4%2C.05%29%2Ccircle%280%2C3%2F4%2C.05%29%2C%0D%0Acircle%281%2F2%2C3%2F4%2C.05%29%2C+line%281%2F2%2C-10%2C1%2F2%2C10%29%2Clocate%281%2F2%2C3%2F4%2CV%281%2F2%2C3%2F4%29%29%2Clocate%28-.7%2C.7%2Cy=3%2F4%29%2Clocate%28.5%2C-.3%2Cx=1%2F2%29%2C%0D%0A+graph%28+600%2C+600%2C+-5%2C+5%2C+-5%2C+5%2C+x%5E2-x%2B1%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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