document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=40097>Question 40097</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find values of a and k for a parabola containing the points given: <BR>\n" );
document.write( "y-k = a(x+3)^2<BR>\n" );
document.write( "(-5,1)and (1,7)<BR>\n" );
document.write( "I've been working on this problem for a while, but I could use a little help. Thanks (: </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #25552 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=25552\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y-k+=+a%28x%2B3%29%5E2+ ALIGN=MIDDLE  ALT=\"+y-k+=+a%28x%2B3%29%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "OK, put in the values (-5,1)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y-k+=+a%28x%2B3%29%5E2+ ALIGN=MIDDLE  ALT=\"+y-k+=+a%28x%2B3%29%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1-k+=+a%28-5%2B3%29%5E2+ ALIGN=MIDDLE  ALT=\"+1-k+=+a%28-5%2B3%29%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1-k+=+a%28-2%29%5E2+ ALIGN=MIDDLE  ALT=\"+1-k+=+a%28-2%29%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1-k+=+4a+ ALIGN=MIDDLE  ALT=\"+1-k+=+4a+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1+=+4a+%2B+k+ ALIGN=MIDDLE  ALT=\"+1+=+4a+%2B+k+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4a+%2B+k+=+1+ ALIGN=MIDDLE  ALT=\"+4a+%2B+k+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and put in the values (1,7)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y-k+=+a%28x%2B3%29%5E2+ ALIGN=MIDDLE  ALT=\"+y-k+=+a%28x%2B3%29%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+7-k+=+a%281%2B3%29%5E2+ ALIGN=MIDDLE  ALT=\"+7-k+=+a%281%2B3%29%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+7-k+=+a%284%29%5E2+ ALIGN=MIDDLE  ALT=\"+7-k+=+a%284%29%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+7-k+=+16a+ ALIGN=MIDDLE  ALT=\"+7-k+=+16a+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+7+=+16a+%2B+k+ ALIGN=MIDDLE  ALT=\"+7+=+16a+%2B+k+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+16a+%2B+k+=+7+ ALIGN=MIDDLE  ALT=\"+16a+%2B+k+=+7+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So simultaneous equations<BR>\n" );
document.write( " 4a + k = 1<BR>\n" );
document.write( "16a + k = 7\r<BR>\n" );
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document.write( "Subtract these to find a and then find k.\r<BR>\n" );
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document.write( "jon. </SPAN>\n" );
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