document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1198842>Question 1198842</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 3. The parabola f(x)=x2 is transformed as described. State the equation that would represent each of the following.<BR>\n" );
document.write( "a) The parabola is compressed by a factor of 0.5 and shifted 3 units right.\r<BR>\n" );
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document.write( "b) The parabola is stretched by a factor of 2, reflected about the x-axis, shifted 5 units left and 2 units up.							\r<BR>\n" );
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document.write( "4. Describe the transformations applied to f(x)=x2 to produce the function 	 		f(x)=2(x-5)2+10 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #832492 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=832492\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3. The parabola <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=x%5E2+ ALIGN=MIDDLE  ALT=\"f%28x%29=x%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >is transformed as described. State the equation that would represent each of the following.\r<BR>\n" );
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document.write( "Transformations of Function Graphs\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-f+%28x%29 ALIGN=MIDDLE  ALT=\"-f+%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >reflect <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f+%28x%29 ALIGN=MIDDLE  ALT=\"f+%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > 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<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f+%28-x%29 ALIGN=MIDDLE  ALT=\"f+%28-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > reflect <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f+%28x%29+ ALIGN=MIDDLE  ALT=\"f+%28x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >over the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >-axis<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f+%28x%29+%2B+k+ ALIGN=MIDDLE  ALT=\"f+%28x%29+%2B+k+\"   DISABLED_style= \"max-width:90%; height:auto;\" >shift<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f+%28x%29 ALIGN=MIDDLE  ALT=\"+f+%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > up <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k ALIGN=MIDDLE  ALT=\"k\"   DISABLED_style= \"max-width:90%; height:auto;\" > units<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f+%28x%29+-+k+ ALIGN=MIDDLE  ALT=\"f+%28x%29+-+k+\"   DISABLED_style= \"max-width:90%; height:auto;\" >shift <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f+%28x%29 ALIGN=MIDDLE  ALT=\"f+%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > down<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+k ALIGN=MIDDLE  ALT=\"+k\"   DISABLED_style= \"max-width:90%; height:auto;\" > units<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f+%28x+%2B+k%29 ALIGN=MIDDLE  ALT=\"f+%28x+%2B+k%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > shift <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f+%28x%29 ALIGN=MIDDLE  ALT=\"f+%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > left <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k ALIGN=MIDDLE  ALT=\"k\"   DISABLED_style= \"max-width:90%; height:auto;\" > units<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f+%28x+-+k%29 ALIGN=MIDDLE  ALT=\"f+%28x+-+k%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > shift <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f+%28x%29 ALIGN=MIDDLE  ALT=\"f+%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > right <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k ALIGN=MIDDLE  ALT=\"k\"   DISABLED_style= \"max-width:90%; height:auto;\" > units<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k%2Af+%28x%29 ALIGN=MIDDLE  ALT=\"k%2Af+%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >-values by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k ALIGN=MIDDLE  ALT=\"k\"   DISABLED_style= \"max-width:90%; height:auto;\" >   (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k+%3E+1 ALIGN=MIDDLE  ALT=\"k+%3E+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > stretch, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+%3C+k+%3C+1 ALIGN=MIDDLE  ALT=\"0+%3C+k+%3C+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > shrink vertical)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f+%28kx%29+divide+%7B%7B%7Bx ALIGN=MIDDLE  ALT=\"f+%28kx%29+divide+%7B%7B%7Bx\"   DISABLED_style= \"max-width:90%; height:auto;\" >-values by<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+k ALIGN=MIDDLE  ALT=\"+k\"   DISABLED_style= \"max-width:90%; height:auto;\" >   (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k+%3E+1 ALIGN=MIDDLE  ALT=\"k+%3E+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > shrink, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+%3C+k+%3C+1 ALIGN=MIDDLE  ALT=\"0+%3C+k+%3C+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > stretch horizontal)\r<BR>\n" );
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document.write( "a) The parabola is compressed by a 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;\" > and shifted <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 right.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+%3C+0.5+%3C+1 ALIGN=MIDDLE  ALT=\"0+%3C+0.5+%3C+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > shrink or compress vertically)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=0.5%28x-3%29%5E2 ALIGN=MIDDLE  ALT=\"y=0.5%28x-3%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "b) The parabola is stretched by a factor of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, reflected about 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, shifted <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" > units left and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" > units up.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2%28x%2B5%29%5E2%2B2 ALIGN=MIDDLE  ALT=\"y=-2%28x%2B5%29%5E2%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "4. Describe the transformations applied to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=x%5E2 ALIGN=MIDDLE  ALT=\"f%28x%29=x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > to produce the function \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=2%28x-5%29%5E2%2B10 ALIGN=MIDDLE  ALT=\"f%28x%29=2%28x-5%29%5E2%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "the parabola is stretched by a factor of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" >,shifted <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5+ ALIGN=MIDDLE  ALT=\"5+\"   DISABLED_style= \"max-width:90%; height:auto;\" >units right and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10 ALIGN=MIDDLE  ALT=\"10\"   DISABLED_style= \"max-width:90%; height:auto;\" > units up\r<BR>\n" );
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document.write( " </SPAN>\n" );
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