document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1179959>Question 1179959</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The line of symmetry for y= x^2 + 16x + 60 is x= -8. Find the equations<BR>\n" );
document.write( "of three different quadratics that also have x= -8 as the line of<BR>\n" );
document.write( "symmetry. Make sure that each equation has a different value of a. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #809518 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=809518\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the line of  symmetry passes through the vertex\r<BR>\n" );
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document.write( "first, write your equation in vertex form\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=+a%28x-+h%29%5E2+%2Bk ALIGN=MIDDLE  ALT=\"y=+a%28x-+h%29%5E2+%2Bk\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=+%28x%5E2+%2B+16x%29+%2B+60 ALIGN=MIDDLE  ALT=\"y=+%28x%5E2+%2B+16x%29+%2B+60\"   DISABLED_style= \"max-width:90%; height:auto;\" >.......complete square<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=+%28x%5E2+%2B+16x%2B8%5E2%29+-8%5E2%2B+60 ALIGN=MIDDLE  ALT=\"y=+%28x%5E2+%2B+16x%2B8%5E2%29+-8%5E2%2B+60\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=+%28x+%2B8%29%5E2+-4 ALIGN=MIDDLE  ALT=\"y=+%28x+%2B8%29%5E2+-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >-> in this case <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a=1 ALIGN=MIDDLE  ALT=\"+a=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+drawing%28+600%2C+600%2C+-15%2C+15%2C+-15%2C+15%2C%0D%0Agreen%28line%28-8%2C10%2C-8%2C-10%29%29%2C%0D%0Agraph%28+600%2C+600%2C+-15%2C+15%2C+-15%2C+15%2C+%28x+%2B8%29%5E2+-4%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "the equations of three different quadratics:\r<BR>\n" );
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document.write( "1.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=+a%28%28x%2B+8%29%5E2+-4%29 ALIGN=MIDDLE  ALT=\"y=+a%28%28x%2B+8%29%5E2+-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >........let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=2 ALIGN=MIDDLE  ALT=\"a=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=+2%28x%2B+8%29%5E2+-8 ALIGN=MIDDLE  ALT=\"y=+2%28x%2B+8%29%5E2+-8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=+2x%5E2+%2B+32x+%2B+120 ALIGN=MIDDLE  ALT=\"y=+2x%5E2+%2B+32x+%2B+120\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+drawing%28+600%2C+600%2C+-15%2C+15%2C+-15%2C+15%2C%0D%0Agreen%28line%28-8%2C14%2C-8%2C-14%29%29%2C%0D%0Agraph%28+600%2C+600%2C+-15%2C+15%2C+-15%2C+15%2C+2x%5E2+%2B+32x+%2B+120%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "2.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=+a%28%28x%2B+8%29%5E2+-4%29 ALIGN=MIDDLE  ALT=\"y=+a%28%28x%2B+8%29%5E2+-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.......let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=-2 ALIGN=MIDDLE  ALT=\"a=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=+-2%28x%2B+8%29%5E2+-8 ALIGN=MIDDLE  ALT=\"y=+-2%28x%2B+8%29%5E2+-8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=+-2x%5E2+-+32x+-+136 ALIGN=MIDDLE  ALT=\"y=+-2x%5E2+-+32x+-+136\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+drawing%28+600%2C+600%2C+-15%2C+15%2C+-15%2C+15%2C%0D%0Agreen%28line%28-8%2C14%2C-8%2C-14%29%29%2C%0D%0Agraph%28+600%2C+600%2C+-15%2C+15%2C+-15%2C+15%2C+-2%28x%2B+8%29%5E2+-8%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "3.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=+a%28%28x%2B+8%29%5E2+-4%29 ALIGN=MIDDLE  ALT=\"y=+a%28%28x%2B+8%29%5E2+-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.......let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=5 ALIGN=MIDDLE  ALT=\"a=5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=+5%28%28x%2B+8%29%5E2+-4%29 ALIGN=MIDDLE  ALT=\"y=+5%28%28x%2B+8%29%5E2+-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=+5%28x%2B+8%29%5E2+-20 ALIGN=MIDDLE  ALT=\"y=+5%28x%2B+8%29%5E2+-20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=+5x%5E2+%2B+80x+%2B+300 ALIGN=MIDDLE  ALT=\"y=+5x%5E2+%2B+80x+%2B+300\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+drawing%28+600%2C+600%2C+-15%2C+15%2C+-20%2C+15%2C%0D%0Agreen%28line%28-8%2C14%2C-8%2C-20%29%29%2C%0D%0Agraph%28+600%2C+600%2C+-15%2C+15%2C+-20%2C+15%2C+5%28x%2B+8%29%5E2+-20%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );