document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=134214>Question 134214</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you please help me? I just need to ensure I am correct:\r<BR>\n" );
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document.write( "Find the range of the quadradic function:<BR>\n" );
document.write( "f(x)=(x+4)²+8\r<BR>\n" );
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document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #98153 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=98153\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(x)=(x+4)^2 +8<BR>\n" );
document.write( "=x^2+8x+16+8<BR>\n" );
document.write( "=x^2+8x+24<BR>\n" );
document.write( "a=1, b=8, c=24<BR>\n" );
document.write( "a(-b/2a)^2+b(-b/2a)+c=the minimum at y.<BR>\n" );
document.write( "-b/2a=-8/2=-4<BR>\n" );
document.write( "-4^2+8*-4+24=16-32+24=40-32=8<BR>\n" );
document.write( "The range= 8<=y<infinity<BR>\n" );
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document.write( "Ed<BR>\n" );
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