document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=473484>Question 473484</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of quadratic function that has the given vertex and given point.\r<BR>\n" );
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document.write( "Vertex (1,3) passing through (4,8)\r<BR>\n" );
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document.write( "Welp,I keep trying and redo-ing the problem, but I don't think I'm coming out with correct answer . </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #324697 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=324697\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the equation of quadratic function that has the given vertex and given point. <BR>\n" );
document.write( "Vertex (1,3) passing through (4,8)<BR>\n" );
document.write( "**<BR>\n" );
document.write( "What we have here is a parabola of standard form: y=A(x-h)^2+k, with (h,k) being the (x,y) coordinates of the vertex. A is a multiplier which affects the steepness of the curve.<BR>\n" );
document.write( "For given problem:<BR>\n" );
document.write( "y=A(x-1)^2+3<BR>\n" );
document.write( "Using (x,y) coordinates of given point (4,8) to solve for A<BR>\n" );
document.write( "8=A(4-1)^2+3<BR>\n" );
document.write( "8-3=A(3)^2<BR>\n" );
document.write( "5=9A<BR>\n" );
document.write( "A=5/9<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "y=(5/9)(x-1)^2+3<BR>\n" );
document.write( "see graph below as a visual check on answer:\r<BR>\n" );
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document.write( "..<BR>\n" );
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