document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=775701>Question 775701</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please explain how to graph this parabola:<BR>\n" );
document.write( "Y = (x-4)^2 - 3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #473081 by </B><A HREF=/tutors/aboutme.mpl?userid=swincher4391><B>swincher4391(1107)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=swincher4391><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=swincher4391><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=473081\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is in a form we call vertex form.\r<BR>\n" );
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document.write( "Y = (x-h)^2 + k   where (h,k) is the vertex.\r<BR>\n" );
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document.write( "Given that, we know that the vertex is (4, -3)\r<BR>\n" );
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document.write( "If we can find out the two y-intercepts [or zeroes] we can connect the dots into a parabola and graph.\r<BR>\n" );
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document.write( "Solve for x.\r<BR>\n" );
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document.write( "y + 3 = (x-4)^2 \r<BR>\n" );
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document.write( "+-sqrt(y+3) = x -4 \r<BR>\n" );
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document.write( "+- sqrt(y+3) + 4 = x\r<BR>\n" );
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document.write( "Put y =0,\r<BR>\n" );
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document.write( "4 +- sqrt(3) =  2.3 and 6.7\r<BR>\n" );
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document.write( "So we have (2.3,0), (4,-3) (6.7,0)\r<BR>\n" );
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document.write( "Connect and we've got it. </SPAN>\n" );
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