document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=952437>Question 952437</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine the equation for h(x), where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%28x%29+=+k%2A%28g-f%29+ ALIGN=MIDDLE  ALT=\"+h%28x%29+=+k%2A%28g-f%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=+sqrt+%28x%29-2+ ALIGN=MIDDLE  ALT=\"+f%28x%29=+sqrt+%28x%29-2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+g%28x%29=+2%28x%5E2%2B1%29-1+ ALIGN=MIDDLE  ALT=\"+g%28x%29=+2%28x%5E2%2B1%29-1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+k%28x%29=+x%2B4+ ALIGN=MIDDLE  ALT=\"+k%28x%29=+x%2B4+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "a. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%28x%29=+-2x%5E2%2Bx%2B9+ ALIGN=MIDDLE  ALT=\"+h%28x%29=+-2x%5E2%2Bx%2B9+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "b. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%28x%29=+-2x%5E2%2Bsqrt+%28x%29%2B7+ ALIGN=MIDDLE  ALT=\"+h%28x%29=+-2x%5E2%2Bsqrt+%28x%29%2B7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "c. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%28x%29=+2x%5E2-sqrt+%28x%29%2B7+ ALIGN=MIDDLE  ALT=\"+h%28x%29=+2x%5E2-sqrt+%28x%29%2B7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%28x%29=+2x%5E2-x%2B7+ ALIGN=MIDDLE  ALT=\"+h%28x%29=+2x%5E2-x%2B7+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #581631 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</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=581631\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "the equation for h(x), where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%28x%29+=+k%2A%28g-f%29+ ALIGN=MIDDLE  ALT=\"+h%28x%29+=+k%2A%28g-f%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=+sqrt+%28x%29-2+ ALIGN=MIDDLE  ALT=\"+f%28x%29=+sqrt+%28x%29-2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+g%28x%29=+2%28x%5E2%2B1%29-1+ ALIGN=MIDDLE  ALT=\"+g%28x%29=+2%28x%5E2%2B1%29-1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+k%28x%29=+x%2B4+ ALIGN=MIDDLE  ALT=\"+k%28x%29=+x%2B4+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "if you have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%28x%29+=+k%2A%28g-f%29+ ALIGN=MIDDLE  ALT=\"+h%28x%29+=+k%2A%28g-f%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%28x%29+=+%28x%2B4%29%2A%28%282%28x%5E2%2B1%29-1%29-%28sqrt+%28x%29-2%29%29+ ALIGN=MIDDLE  ALT=\"+h%28x%29+=+%28x%2B4%29%2A%28%282%28x%5E2%2B1%29-1%29-%28sqrt+%28x%29-2%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%28x%29+=+%28x%2B4%29%2A%282x%5E2%2B2-1-sqrt%28x%29%2B2%29+ ALIGN=MIDDLE  ALT=\"+h%28x%29+=+%28x%2B4%29%2A%282x%5E2%2B2-1-sqrt%28x%29%2B2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%28x%29+=+%28x%2B4%29%2A%282x%5E2%2B1-sqrt%28x%29%2B2%29+ ALIGN=MIDDLE  ALT=\"+h%28x%29+=+%28x%2B4%29%2A%282x%5E2%2B1-sqrt%28x%29%2B2%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=+h%28x%29+=+%28x%2B4%29%2A%282x%5E2-sqrt%28x%29%2B3%29+ ALIGN=MIDDLE  ALT=\"+h%28x%29+=+%28x%2B4%29%2A%282x%5E2-sqrt%28x%29%2B3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > if you multiply further, you will have function of degree <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( " <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%28x%29+=2x%5E3%2B8x%5E2%2B3x-x%2Asqrt%28x%29-4sqrt%28x%29%2B12+ ALIGN=MIDDLE  ALT=\"+h%28x%29+=2x%5E3%2B8x%5E2%2B3x-x%2Asqrt%28x%29-4sqrt%28x%29%2B12+\"   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=+h%28x%29+=2x%5E3%2B8x%5E2%2B%283-sqrt%28x%29%29x-4sqrt%28x%29%2B12+ ALIGN=MIDDLE  ALT=\"+h%28x%29+=2x%5E3%2B8x%5E2%2B%283-sqrt%28x%29%29x-4sqrt%28x%29%2B12+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "since your answer options are these:\r<BR>\n" );
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document.write( "a. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%28x%29=+-2x%5E2%2Bx%2B9+ ALIGN=MIDDLE  ALT=\"+h%28x%29=+-2x%5E2%2Bx%2B9+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "b. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%28x%29=+-2x%5E2%2Bsqrt+%28x%29%2B7+ ALIGN=MIDDLE  ALT=\"+h%28x%29=+-2x%5E2%2Bsqrt+%28x%29%2B7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "c. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%28x%29=+2x%5E2-sqrt+%28x%29%2B7+ ALIGN=MIDDLE  ALT=\"+h%28x%29=+2x%5E2-sqrt+%28x%29%2B7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%28x%29=+2x%5E2-x%2B7+ ALIGN=MIDDLE  ALT=\"+h%28x%29=+2x%5E2-x%2B7+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "we can see that none of them is right answer; so, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%28x%29+=2x%5E3%2B8x%5E2%2B%283-sqrt%28x%29%29x-4sqrt%28x%29%2B12+ ALIGN=MIDDLE  ALT=\"+h%28x%29+=2x%5E3%2B8x%5E2%2B%283-sqrt%28x%29%29x-4sqrt%28x%29%2B12+\"   DISABLED_style= \"max-width:90%; height:auto;\" > should be your answer\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );