document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=184593>Question 184593</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm can't figure out how to create a quadratic equation out of the vertex and a point that it must pass through. All i've managed so far is some trial and error and come up with this.<BR>\n" );
document.write( "y=2(x+2)²+4<BR>\n" );
document.write( "From the vertex of (-2,4) and passing through (-1,8).<BR>\n" );
document.write( "I have been fiddling around with it and have two ideas how to proceed.<BR>\n" );
document.write( "I could change (x+2) to something else to move it along the x axis or change the first part of it to change the fatness or whichever you want to call it of the parabola.  Regardless i figure there is a better way to do it other then trial and error, if it has been answered before i'm sorry I didn't see it. I'm self taught and this is the first time I really have had any problem. \r<BR>\n" );
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document.write( "-Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #138554 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=138554\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the general vertex form of a quadratic is y = a(x-h)^2 + k\r<BR>\n" );
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document.write( "(h,k) is the vertex, and \"a\" controls what you call the \"fatness\"\r<BR>\n" );
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document.write( "your question is basically solving for \"a\"  __  algebra, not trial and error\r<BR>\n" );
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document.write( "y = a(x+2)^2 + 4\r<BR>\n" );
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document.write( "substituting (-1,8) ___ 8 = a(-1+2)^2 + 4\r<BR>\n" );
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document.write( "subtracting 4 ___ 4 = a\r<BR>\n" );
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document.write( "so the equation is ___ y = 4(x+2)^2 + 4 </SPAN>\n" );
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