document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=409132>Question 409132</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find an equation of the parabola that has a focus at (9,15) and a vertex at (9,8) in terms of y. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #288079 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=288079\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a focus at (9,15) and \r<BR>\n" );
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document.write( "a vertex at (9,8)\r<BR>\n" );
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document.write( "Since the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-coordinates ALIGN=MIDDLE  ALT=\"x-coordinates\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=vertex ALIGN=MIDDLE  ALT=\"vertex\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=focus ALIGN=MIDDLE  ALT=\"focus\"   DISABLED_style= \"max-width:90%; height:auto;\" > are the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=same ALIGN=MIDDLE  ALT=\"same\"   DISABLED_style= \"max-width:90%; height:auto;\" >, they are one of top of the other, so this is a <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=regular ALIGN=MIDDLE  ALT=\"regular\"   DISABLED_style= \"max-width:90%; height:auto;\" > vertical parabola, where the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+ ALIGN=MIDDLE  ALT=\"x+\"   DISABLED_style= \"max-width:90%; height:auto;\" >part is squared. \r<BR>\n" );
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document.write( "Since the vertex is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=below ALIGN=MIDDLE  ALT=\"below\"   DISABLED_style= \"max-width:90%; height:auto;\" > the focus, this is a <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=right-side ALIGN=MIDDLE  ALT=\"right-side\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+up ALIGN=MIDDLE  ALT=\"+up\"   DISABLED_style= \"max-width:90%; height:auto;\" > parabola and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p+ ALIGN=MIDDLE  ALT=\"p+\"   DISABLED_style= \"max-width:90%; height:auto;\" >is positive. \r<BR>\n" );
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document.write( "Since the vertex and focus are 15 –8 = 7 units apart, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p+=+7 ALIGN=MIDDLE  ALT=\"p+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "And that's all I need for my equation, since they already gave me the vertex.\r<BR>\n" );
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document.write( "    (x–h)^2=4p(y –k)\r<BR>\n" );
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document.write( "    (x–9)^2 = 4*7(y –8)\r<BR>\n" );
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document.write( "    (x–9)^2 = 28(y –8)\r<BR>\n" );
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document.write( "    (x–9)^2/28= y–8<BR>\n" );
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document.write( "   (x–9)^2/28 +8= y \r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=%28x%5E2-18x+%2B81%29%2F28+%2B8+ ALIGN=MIDDLE  ALT=\"y+=%28x%5E2-18x+%2B81%29%2F28+%2B8+\"   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+=%281%2F28%29x%5E2-0.64x+%2B2.9+%2B8+ ALIGN=MIDDLE  ALT=\"y+=%281%2F28%29x%5E2-0.64x+%2B2.9+%2B8+\"   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+=+%281%2F28%29x%5E2-0.64x+%2B10.9+ ALIGN=MIDDLE  ALT=\"y+=+%281%2F28%29x%5E2-0.64x+%2B10.9+\"   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=+graph%28+600%2C+600%2C+-35%2C+25%2C+-35%2C+25%2C+%281%2F28%29x%5E2-0.64x+%2B10.9%29+ ALIGN=MIDDLE  ALT=\"+graph%28+600%2C+600%2C+-35%2C+25%2C+-35%2C+25%2C+%281%2F28%29x%5E2-0.64x+%2B10.9%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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