document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=131783>Question 131783</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find and label the vertex and the line of symmetry.  Graph the function.\r<BR>\n" );
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document.write( "f(x) = 1/4x^2\r<BR>\n" );
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document.write( "I tried using the solver and nothing computed, but this is the whole problem.  I'm stuck. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #96205 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=96205\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I presume you mean that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%281%2F4%29x%5E2 ALIGN=MIDDLE  ALT=\"f%28x%29=%281%2F4%29x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > as opposed to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=1%2F%284x%5E2%29 ALIGN=MIDDLE  ALT=\"f%28x%29=1%2F%284x%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Given that assumption, you can re-write your equation as:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%281%2F4%29x%5E2%2B0x%2B0 ALIGN=MIDDLE  ALT=\"f%28x%29=%281%2F4%29x%5E2%2B0x%2B0\"   DISABLED_style= \"max-width:90%; height:auto;\" > to put it in the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax%5E2%2Bbx%2Bc ALIGN=MIDDLE  ALT=\"ax%5E2%2Bbx%2Bc\"   DISABLED_style= \"max-width:90%; height:auto;\" > form, with a = 1/4, b = 0, and c = 0.\r<BR>\n" );
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document.write( "Now recall that the x-coordinate of the parabola vertex is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-b%2F2a ALIGN=MIDDLE  ALT=\"-b%2F2a\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  In this case:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-0%2F%282%281%2F4%29%29=0 ALIGN=MIDDLE  ALT=\"-0%2F%282%281%2F4%29%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "And the y-coordinate of the vertex is at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%280%29=%281%2F4%290%5E2%2B0%2A0%2B0=0 ALIGN=MIDDLE  ALT=\"f%280%29=%281%2F4%290%5E2%2B0%2A0%2B0=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Now we know that the vertex is at (0,0).\r<BR>\n" );
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document.write( "We know that the axis of symmetry is a vertical line that intersects the vertex, so the equation of the axis is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=0 ALIGN=MIDDLE  ALT=\"x=0\"   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%28600%2C600%2C-3%2C3%2C-3%2C3%2C%0D%0Agrid%281%29%2C%0D%0Agraph%28600%2C600%2C-3%2C3%2C-3%2C3%2Cx%5E2%2F4%29%2C%0D%0Alocate%28.1%2C-.1%2CV%280%2C0%29%29%2C%0D%0Acircle%280%2C0%2C.05%29%2C%0D%0Agreen%28line%280%2C-3%2C0%2C3%29%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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