document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=121713>Question 121713</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the correct mapping rule to show the transformation of y=2^x for the equation 1/4(y-5)=2^2x-3 ? Can someone please help, I've been stuck for a few days on this one.I'm guessing: (x,y)-(x+3),(4y+5), anyone know? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #89352 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=89352\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What is the correct mapping rule to show the transformation of y=2^x for the equation 1/4(y-5)=2^2x-3 ? Can someone please help, I've been stuck for a few days on this one.I'm guessing: (x,y)-(x+3),(4y+5), anyone know?<BR>\n" );
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document.write( "Rearranging I get:<BR>\n" );
document.write( "y = 4*(2^(2x-3)-3)+5<BR>\n" );
document.write( "y = 4*2^(2x-3)+7<BR>\n" );
document.write( "Not sure about this one, but:<BR>\n" );
document.write( "It looks to me like y=2^x is moved (3/2)to the right, up 7, and \"stretched\"<BR>\n" );
document.write( "by a factor of 4.<BR>\n" );
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document.write( "Maybe (x,y)----(x-(3/2),4y+7)<BR>\n" );
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document.write( "What do you think?<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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