document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=906170>Question 906170</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A quadratic function is given.\r<BR>\n" );
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document.write( "f(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+-+4x+ ALIGN=MIDDLE  ALT=\"+x%5E2+-+4x+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "(a) Express the quadratic function in standard form.\r<BR>\n" );
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document.write( "f(x) =	\r<BR>\n" );
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document.write( "(b) Find its vertex and its x- and y-intercept(s). (If an answer does not exist, enter DNE.)\r<BR>\n" );
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document.write( "vertex............(x, y) = ( _ , _ )<BR>\n" );
document.write( "x-intercepts..(x, y) = ( _ , _ ) (smaller x-value)<BR>\n" );
document.write( ".....................(x, y) = ( _ , _ ) (larger x-value)<BR>\n" );
document.write( "y-intercept....(x, y) = ( _ , _ )\r<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 #549667 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=549667\">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=x%5E2-4x ALIGN=MIDDLE  ALT=\"x%5E2-4x\"   DISABLED_style= \"max-width:90%; height:auto;\" > is not a square and what you want is a square.  You have so far, something which can<BR>\n" );
document.write( "be matched to a rectangle area, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28x-4%29 ALIGN=MIDDLE  ALT=\"x%28x-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  If you  ADD and SUBTRACT  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-4%2F2%29%5E2=4 ALIGN=MIDDLE  ALT=\"%28-4%2F2%29%5E2=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, you can complete the square<BR>\n" );
document.write( "and part of the resulting expression can be factored:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=x%5E2-4x%2B4-4 ALIGN=MIDDLE  ALT=\"f%28x%29=x%5E2-4x%2B4-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%28x%5E2-4x%2B4%29-4 ALIGN=MIDDLE  ALT=\"f%28x%29=%28x%5E2-4x%2B4%29-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28f%28x%29=%28x-2%29%5E2-4%29 ALIGN=MIDDLE  ALT=\"highlight%28f%28x%29=%28x-2%29%5E2-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >----standard form.\r<BR>\n" );
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document.write( "The vertex is (2,-4), and because coefficient on the squared expression is POSITIVE 1,<BR>\n" );
document.write( "this vertex is a minimum.\r<BR>\n" );
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document.write( "If you want to know the x-intercepts, solve for x in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28%28x-2%29%5E2-4=0%29 ALIGN=MIDDLE  ALT=\"highlight_green%28%28x-2%29%5E2-4=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, a very simple<BR>\n" );
document.write( "and easy process.\r<BR>\n" );
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document.write( "Finding y-intercept just means let x=0 and evaluate y.<BR>\n" );
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