document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=975375>Question 975375</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine the equation of the quadratic function<BR>\n" );
document.write( "With zeros of 4 + the square root of 2 and 4- <BR>\n" );
document.write( "Squar root of 2 that passes through the point <BR>\n" );
document.write( "(1,-21)  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #597163 by </B><A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><B>Edwin McCravy(20060)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><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=Edwin+McCravy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=597163\">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=f%28x%29+=+a%28x%5E%22%22-%284%2Bsqrt%282%29%29%5E%22%22%29%28x%5E%22%22-%284-sqrt%282%29%29%5E%22%22%29 ALIGN=MIDDLE   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=f%28x%29+=+a%28x%5E%22%22-4-sqrt%282%29%5E%22%22%29%28x%5E%22%22-4%2Bsqrt%282%29%5E%22%22%29 ALIGN=MIDDLE  ALT=\"f%28x%29+=+a%28x%5E%22%22-4-sqrt%282%29%5E%22%22%29%28x%5E%22%22-4%2Bsqrt%282%29%5E%22%22%29\"   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=f%28x%29+=+a%28%28x-4%29%5E%22%22-sqrt%282%29%29%28%28x-4%29%5E%22%22%2Bsqrt%282%29%5E%22%22%29 ALIGN=MIDDLE   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=f%28x%29+=+a%28%28x-4%29%5E2-2%5E%22%22%29 ALIGN=MIDDLE  ALT=\"f%28x%29+=+a%28%28x-4%29%5E2-2%5E%22%22%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Substitute x = 1, y = f(x) = -21\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-21+=+a%28%281-4%29%5E2-2%29 ALIGN=MIDDLE  ALT=\"-21+=+a%28%281-4%29%5E2-2%29\"   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=-21+=+a%28%28-3%29%5E2-2%29 ALIGN=MIDDLE  ALT=\"-21+=+a%28%28-3%29%5E2-2%29\"   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=-21+=+a%289-2%29 ALIGN=MIDDLE  ALT=\"-21+=+a%289-2%29\"   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=-21+=+a%287%29 ALIGN=MIDDLE  ALT=\"-21+=+a%287%29\"   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=-21+=+7a ALIGN=MIDDLE  ALT=\"-21+=+7a\"   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=-3=a ALIGN=MIDDLE  ALT=\"-3=a\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Substitute in\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+-3%28%28x-4%29%5E2-2%5E%22%22%29 ALIGN=MIDDLE  ALT=\"f%28x%29+=+-3%28%28x-4%29%5E2-2%5E%22%22%29\"   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=f%28x%29+=+-3%28x%5E2-8x%2B16-2%5E%22%22%29 ALIGN=MIDDLE  ALT=\"f%28x%29+=+-3%28x%5E2-8x%2B16-2%5E%22%22%29\"   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=f%28x%29+=+-3%28x%5E2-8x%2B14%5E%22%22%29 ALIGN=MIDDLE  ALT=\"f%28x%29+=+-3%28x%5E2-8x%2B14%5E%22%22%29\"   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=f%28x%29+=+-3x%5E2%2B24x-42%29 ALIGN=MIDDLE  ALT=\"f%28x%29+=+-3x%5E2%2B24x-42%29\"   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=4%2Bsqrt%282%29=5.4 ALIGN=MIDDLE  ALT=\"4%2Bsqrt%282%29=5.4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4-sqrt%282%29=2.6 ALIGN=MIDDLE  ALT=\"4-sqrt%282%29=2.6\"   DISABLED_style= \"max-width:90%; height:auto;\" >, approximately\r<BR>\n" );
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document.write( "Notice that the graph of f(x) below has approximately those zeros<BR>\n" );
document.write( "and it goes through (1,-21).\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28120%2C400%2C-2%2C7%2C-23%2C7%2C%0D%0A%0D%0Acircle%281%2C-21%2C0.15%29%2Ccircle%281%2C-21%2C0.13%29%2Ccircle%281%2C-21%2C0.11%29%2Ccircle%281%2C-21%2C0.09%29%2Ccircle%281%2C-21%2C0.07%29%2Ccircle%281%2C-21%2C0.05%29%2Ccircle%281%2C-21%2C0.03%29%2Ccircle%281%2C-21%2C0.01%29%2C%0D%0A%0D%0Alocate%281%2C-21%2C%22%281%2C-21%29%22%29%2C%0D%0A%0D%0Agraph%28120%2C400%2C-2%2C7%2C-23%2C7%2C-3x%5E2%2B24x-42%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" );