document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=531388>Question 531388</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need to graph: g(x)=-1/2f(x+1)-3 and show 3 ordered pairs.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #350424 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=350424\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I need to graph: g(x)=-1/2f(x+1)-3 and show 3 ordered pairs.<BR>\n" );
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document.write( "Define f(x) = ? ; the three coordinates of f(x) are (-5,4), (4,1) and (1,-2)<BR>\n" );
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document.write( "ax^2 + bx + c = y<BR>\n" );
document.write( "25a -5b+c = 4<BR>\n" );
document.write( "16a +4b+c = 1<BR>\n" );
document.write( "a + b + c = -2<BR>\n" );
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document.write( "Use any method to find a,b,c<BR>\n" );
document.write( "a =1/3 <BR>\n" );
document.write( "b =1/3 <BR>\n" );
document.write( "c =-8/3<BR>\n" );
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document.write( "f(x) = (1/3)(x^2 + x - 8)<BR>\n" );
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document.write( "So, f(x+1) = (1/3)(x^2+2x+1+x+1-8) = (1/3)(x^2+3x-7)<BR>\n" );
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document.write( "Then g(x)= -1/2f(x+1)-3<BR>\n" );
document.write( "g(x) = (-1/6)(x^2+3x-7)-3<BR>\n" );
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document.write( "g(x) = (-1/6)x^2-(1/2)x -11/6<BR>\n" );
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document.write( "Points:<BR>\n" );
document.write( "g(0) = -11**6<BR>\n" );
document.write( "g(1) = -1/6 - 1/2 - 11/6 = -15/6 = -5/2<BR>\n" );
document.write( "g(-1) = (-1/6) + 1/2 - 11/6 = -3/2<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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