document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=144632>Question 144632</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The vertex of a parabola  is at the point (3, 2.5) and the point (4, 5.5) is on the parabola. What is the equation of the parabola?\r<BR>\n" );
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document.write( "... i know that the formula for parabola that is up or down is <BR>\n" );
document.write( "y=a(x-h)exponent 2+v ... what im having truble finding is (a). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #105381 by </B><A HREF=/tutors/aboutme.mpl?userid=nabla><B>nabla(475)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nabla><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=105381\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For our vertex, the equation's formula is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%5E2=4p%28y-2.5%29 ALIGN=MIDDLE  ALT=\"%28x-3%29%5E2=4p%28y-2.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "(4, 5.5) is on the parabola. Put these values in our formula to find p.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%5E2=4p%283%29 ALIGN=MIDDLE  ALT=\"1%5E2=4p%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Thus <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=1%2F12 ALIGN=MIDDLE  ALT=\"p=1%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "And our equation becomes<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%5E2=%281%2F3%29%28y-2.5%29 ALIGN=MIDDLE  ALT=\"%28x-3%29%5E2=%281%2F3%29%28y-2.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28x-3%29%5E2%2B2.5=y ALIGN=MIDDLE  ALT=\"3%28x-3%29%5E2%2B2.5=y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Another way to think about this is that the non-vertex point you are given is only 1 unit over to the right and it goes up 3 units from the vertex, so your \"a\" value would logically be 3 (1 increase of x results in 3 increase in y).<BR>\n" );
document.write( "I edited this because I made it more complicated than it needed to be prior to this current revision. Good day<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28+300%2C+300%2C+-2%2C+6%2C+-2%2C+6%2C+3%28x-3%29%5E2%2B2.5%29 ALIGN=MIDDLE  ALT=\"graph%28+300%2C+300%2C+-2%2C+6%2C+-2%2C+6%2C+3%28x-3%29%5E2%2B2.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
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