document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1035300>Question 1035300</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 21.   A function is defined as <BR>\n" );
document.write( "f(x)=4x^2+1. If the graph of this function shifts 4 units down, 5 units right, and is reflected across the x-axis, what is the coordinate for the vertex of the resulting function.\r<BR>\n" );
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document.write( "A   (5, -3)\r<BR>\n" );
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document.write( "B   (5, 3)\r<BR>\n" );
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document.write( "C   (4, 5)\r<BR>\n" );
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document.write( "D   (0, 1)<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #649993 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</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=649993\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Apply the changes one at a time.\r<BR>\n" );
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document.write( "Starting with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=4%28x-0%29%5E2%2B1 ALIGN=MIDDLE  ALT=\"f%28x%29=4%28x-0%29%5E2%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Four units down<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%28x-0%29%5E2%2B1-4 ALIGN=MIDDLE  ALT=\"4%28x-0%29%5E2%2B1-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%28x-0%29%5E2-3 ALIGN=MIDDLE  ALT=\"4%28x-0%29%5E2-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Five to the right<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%28x-5%29%5E2-3 ALIGN=MIDDLE  ALT=\"4%28x-5%29%5E2-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Reflect across the x-axis<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%29%284%28x-5%29%5E2-3%29 ALIGN=MIDDLE  ALT=\"%28-1%29%284%28x-5%29%5E2-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4%28x-5%29%5E2%2B3 ALIGN=MIDDLE  ALT=\"-4%28x-5%29%5E2%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" >-----------new vertex  (5,3).\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-2%2C8%2C-5%2C5%2C4x%5E2%2B1%2C-4%28x-5%29%5E2%2B3%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-2%2C8%2C-5%2C5%2C4x%5E2%2B1%2C-4%28x-5%29%5E2%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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