document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=919973>Question 919973</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the line with the equation y= 2x + 3 is reflected in the y-axis. find the equation of the image line </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #558078 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=558078\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> when the equation is reflected about the y-axis.<BR>\n" );
document.write( "(x,y) becomes (-x,y)<BR>\n" );
document.write( "you get the same y value that is the same distance from the y-axis but on opposite sides of it.\r<BR>\n" );
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document.write( "in f(x) terms, this means that f(x) is equal to f(-x)\r<BR>\n" );
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document.write( "your original equation is y = 2x + 3\r<BR>\n" );
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document.write( "replace x with (-x) an dyou get y = 2 * -x + 3 which becomes y = -2x + 3.\r<BR>\n" );
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document.write( "that's your reflected equation.\r<BR>\n" );
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document.write( "the graph of both equations will show you that the equations are symmetric about the y-axis.\r<BR>\n" );
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document.write( "this means that x = 3 becomes y = 2x + 3 which becomes y = 9 in the original equation.\r<BR>\n" );
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document.write( "this means that x = -3 becomes y = -2x + 3 which becomes y = 9 in the reflected equation.\r<BR>\n" );
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document.write( "the graphs looks like this:\r<BR>\n" );
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document.write( "a horizontal line has been placed at y = 9 so you can see that, when y = 9, x = 3 or -3.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28600%2C600%2C-5%2C5%2C-12%2C12%2C2x%2B3%2C-2x%2B3%2C9%29 ALIGN=MIDDLE  ALT=\"graph%28600%2C600%2C-5%2C5%2C-12%2C12%2C2x%2B3%2C-2x%2B3%2C9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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