document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1175921>Question 1175921</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Vertex (4,1) ​; passing through (3,5) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #801691 by </B><A HREF=/tutors/aboutme.mpl?userid=CubeyThePenguin><B>CubeyThePenguin(3113)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CubeyThePenguin><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=CubeyThePenguin><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=801691\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Vertex form: y = a(x-h)^2 + k\r<BR>\n" );
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document.write( "We know the vertex is (4, 1), so plug that in:\r<BR>\n" );
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document.write( "y = a(x - 4)^2 + 1\r<BR>\n" );
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document.write( "The quadratic passes through (3, 5), so plug that in as well:\r<BR>\n" );
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document.write( "5 = a(3 - 4)^2 + 1\r<BR>\n" );
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document.write( "a = 4\r<BR>\n" );
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document.write( "The equation of the quadratic is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+4%28x-4%29%5E2+%2B+1 ALIGN=MIDDLE  ALT=\"y+=+4%28x-4%29%5E2+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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