document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1000183>Question 1000183</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write equations for the following word statements. Complete transformations in the order given.<BR>\n" );
document.write( "a) The graph of f(x) = x^2 is expanded horizontally by a factor of 4, reflected in the y-axis, translated 3 units to the left and translated 5 units upwards. Determine the equation of the transformed function g(x).\r<BR>\n" );
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document.write( "I'm confused as to how it should look when transformed in the order given, and the correct steps to do so. i know i should \"simplify\" the expression after each change but i cant seem to figure out how to simplify.<BR>\n" );
document.write( "my answer: g(x)=(-1/4x+3)^2 +5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #617685 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=617685\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%5E2 ALIGN=MIDDLE  ALT=\"y=x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > as the start.\r<BR>\n" );
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document.write( "Expanded vertically by factor 4 would be  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=4x%5E2 ALIGN=MIDDLE  ALT=\"y=4x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, but HORIZONTALLY should be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4y=x%5E2 ALIGN=MIDDLE  ALT=\"4y=x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Reflect accross the y-axis would be no real change.  y-axis is the axis of symmetry for this up to now.  \r<BR>\n" );
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document.write( "Move 3 unit leftward:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4y=%28x-%28-3%29%29%5E2 ALIGN=MIDDLE  ALT=\"4y=%28x-%28-3%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Move 5 unit upward:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%28y-5%29=%28x-%28-3%29%29%5E2 ALIGN=MIDDLE  ALT=\"4%28y-5%29=%28x-%28-3%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Simplify and you are probably wanting to finish in standard form, so these steps...\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%28y-5%29=%28x%2B3%29%5E2 ALIGN=MIDDLE  ALT=\"4%28y-5%29=%28x%2B3%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-5=%281%2F4%29%28x%2B3%29%5E2 ALIGN=MIDDLE  ALT=\"y-5=%281%2F4%29%28x%2B3%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=%281%2F4%29%28x%2B3%29%5E2%2B5%29 ALIGN=MIDDLE  ALT=\"highlight%28y=%281%2F4%29%28x%2B3%29%5E2%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If you called your original function f(x), then you could call you changed function something else, like g(x). </SPAN>\n" );
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