document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=552483>Question 552483</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The question is:\r<BR>\n" );
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document.write( "The quadratic function f is defined by f(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2+%2B5x+%2B2 ALIGN=MIDDLE  ALT=\"4x%5E2+%2B5x+%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "a) Find the set of values of k for which the equation  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+kx+%2B+1 ALIGN=MIDDLE  ALT=\"f%28x%29+=+kx+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > has real roots.\r<BR>\n" );
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document.write( "b) Find the coordinates of the turning point of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+f%28x%29 ALIGN=MIDDLE  ALT=\"y+=+f%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, stating whether it is a maximum or a minimum point.\r<BR>\n" );
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document.write( "c) Hence, state the maximum value of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28f%28x%29%29 ALIGN=MIDDLE  ALT=\"1%2F%28f%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #360322 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=360322\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The quadratic function f is defined by f(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2+%2B5x+%2B2 ALIGN=MIDDLE  ALT=\"4x%5E2+%2B5x+%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "a) Find the set of values of k for which the equation  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+kx+%2B+1 ALIGN=MIDDLE  ALT=\"f%28x%29+=+kx+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > has real roots.<BR>\n" );
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document.write( "kx + 1 has real roots for all x ?? How is this related to the quadratic?<BR>\n" );
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document.write( "b) Find the coordinates of the turning point of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+f%28x%29 ALIGN=MIDDLE  ALT=\"y+=+f%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, stating whether it is a maximum or a minimum point.<BR>\n" );
document.write( "The coefficient of the x^2 is >0 --> minimum<BR>\n" );
document.write( "The Line of Symmetry is x = -b/2a = -5/8<BR>\n" );
document.write( "The min is at (-5/8,f(-5/8))<BR>\n" );
document.write( "= (-5/8,-7/16)<BR>\n" );
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document.write( "c) Hence, state the maximum value of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28f%28x%29%29 ALIGN=MIDDLE  ALT=\"1%2F%28f%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "For 1/(4x^2 +5x +2)<BR>\n" );
document.write( "Max = 2 2/7<BR>\n" );
document.write( "Not sure that's what you meant to ask </SPAN>\n" );
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