document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1012214>Question 1012214</A>: <I><SPAN STYLE=\"word-break: break-all;\">  The effects on the graph of the linear parent function,f(x)=x,are described below.<BR>\n" );
document.write( "•Reflection over the x axis<BR>\n" );
document.write( "•Vertical compression by a scale factor of 0.5<BR>\n" );
document.write( "•Horizontal shift of 4 units to the right<BR>\n" );
document.write( "•Vertical shift of 3 units down\r<BR>\n" );
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document.write( "What function could be used to represent the transformed linear parent function? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #628977 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=628977\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=x ALIGN=MIDDLE  ALT=\"f%28x%29=x\"   DISABLED_style= \"max-width:90%; height:auto;\" >,are described below.\r<BR>\n" );
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document.write( "•Reflection over the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > axis:\r<BR>\n" );
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document.write( "-f (x) reflects f (x) over the x-axis\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28f%28x%29=-x%29 ALIGN=MIDDLE  ALT=\"highlight%28f%28x%29=-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >->Our new line has negative slope.\r<BR>\n" );
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document.write( "•Vertical compression by a scale factor of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.5 ALIGN=MIDDLE  ALT=\"0.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >:\r<BR>\n" );
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document.write( "f (ax) stretches/compresses f (x) horizontally\r<BR>\n" );
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document.write( "    if 0 < a < 1 (a fraction), the graph is stretched horizontally by a factor<BR>\n" );
document.write( "    of a units.\r<BR>\n" );
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document.write( "    if a > 1, the graph is compressed horizontally by a factor of a units.<BR>\n" );
document.write( "    if a should be negative, the horizontal compression or horizontal stretching of the graph is followed by a reflection of the graph across the y-axis.\r<BR>\n" );
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document.write( "a f (x) stretches/compresses f (x) vertically\r<BR>\n" );
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document.write( "    if 0 < a < 1 (a fraction), the graph is compressed vertically by a factor<BR>\n" );
document.write( "    of a units.<BR>\n" );
document.write( "    if a > 1, the graph is stretched vertically by a factor of a units.<BR>\n" );
document.write( "If a should be negative, then the vertical compression or vertical stretching of the graph is followed by a reflection across the x-axis.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28f%28x%29=-%280.5x%29%29 ALIGN=MIDDLE  ALT=\"highlight%28f%28x%29=-%280.5x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "•Horizontal shift of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4 ALIGN=MIDDLE  ALT=\"4\"   DISABLED_style= \"max-width:90%; height:auto;\" > units to the right:<BR>\n" );
document.write( "f (x + a) translates f (x) horizontally\r<BR>\n" );
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document.write( "    if a > 0, the graph translates (slides) to the right.<BR>\n" );
document.write( "    if a < 0, the graph translates (slides) to the left.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28f%28x%29=-0.5%28x%2B4%29%29 ALIGN=MIDDLE  ALT=\"highlight%28f%28x%29=-0.5%28x%2B4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "•Vertical shift of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" > units down:\r<BR>\n" );
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document.write( "f (x)+ a  translates f (x) vertically\r<BR>\n" );
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document.write( "    if a > 0, the graph translates (slides) upward.<BR>\n" );
document.write( "    if a < 0, the graph translates (slides)<BR>\n" );
document.write( "    downward.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28f%28x%29=-0.5%28x%2B4%29-3%29 ALIGN=MIDDLE  ALT=\"highlight%28f%28x%29=-0.5%28x%2B4%29-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+x%2C+-0.5%28x%2B4%29-3%29+ ALIGN=MIDDLE  ALT=\"+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+x%2C+-0.5%28x%2B4%29-3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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