document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1044732>Question 1044732</A>: <I><SPAN STYLE=\"word-break: break-all;\"> when the function y= g(x)is graphed in the x-y plane, it has a minimum value at the point (1, -2). What is the maximum value of the function h(x)= -3g(x)-1?\r<BR>\n" );
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document.write( "** If possible, it would be great if there was a graph incorporated with the equation as well.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #660098 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=660098\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "The given information is that g(x) has a minimum at (1,-2)\r<BR>\n" );
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document.write( "The y coordinate of that min is what we'll focus on. Multiply that by -3 to get -3*(-2) = 6. The reason why we're multiplying by -3 is because it's being multiplied by the g(x) function.\r<BR>\n" );
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document.write( "Note: multiplying all of g(x) by a negative number will flip g(x) turning the min point into a max point. \r<BR>\n" );
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document.write( "So we have -3*g(x). That's part of what makes up h(x). There's one more part: the -1 tacked on the end. So subtract 1 from that previous result of 6 to get 6-1 = 5\r<BR>\n" );
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document.write( "Therefore, the max of value of h(x) is <font color=red size=5>5</font>\r<BR>\n" );
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document.write( "Unfortunately I cannot provide the graph because it's not clear what function g(x) is.<BR>\n" );
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