document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=163607>Question 163607</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the answers to a, b,c for for the quadratic function y= -x^2 + 6x -5\r<BR>\n" );
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document.write( "a) Find the co-ordinates of the vertex of the parabola<BR>\n" );
document.write( "b) Find the equation of the axis of symmetry<BR>\n" );
document.write( "c) Find the maximum or minimum value\r<BR>\n" );
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document.write( "Here is what I have - I must say my concern is the - (negative) in front of the -x^2.\r<BR>\n" );
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document.write( "a) x = - b/2a = - 6/2(-1) = 3  and y = (-3^2) + 6(3) - 5 = -9 +18 - 5 = 4\r<BR>\n" );
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document.write( "b) ? is this x = 3<BR>\n" );
document.write( "c)   x |  y<BR>\n" );
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document.write( "     0    -5<BR>\n" );
document.write( "     1     0<BR>\n" );
document.write( "     2     3<BR>\n" );
document.write( "     3     4<BR>\n" );
document.write( "     4     3<BR>\n" );
document.write( "     5     0<BR>\n" );
document.write( "     6     -5\r<BR>\n" );
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document.write( "   Based on this maximum is 4\r<BR>\n" );
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document.write( "Thanks for your help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #120568 by </B><A HREF=/tutors/aboutme.mpl?userid=gonzo><B>gonzo(654)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=gonzo><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=120568\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> vertex is (3,4)<BR>\n" );
document.write( "answer to a is correct.<BR>\n" );
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document.write( "axis of symmetry looks like x = 3.<BR>\n" );
document.write( "answer to b is correct based on viewing the graph.<BR>\n" );
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document.write( "since there is a minus in front of the x^2, this is a parabola that has a maximum at the vertex, so your answer of 4 is correct.<BR>\n" );
document.write( "following are two graphs.<BR>\n" );
document.write( "the first one shows the turning point and the maximum clearly.<BR>\n" );
document.write( "the second one shows the axis of symmetry clearly.<BR>\n" );
document.write( "first graph:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28900%2C900%2C-1%2C6%2C-1%2C10%2C-x%5E2%2B6x-5%29 ALIGN=MIDDLE  ALT=\"graph%28900%2C900%2C-1%2C6%2C-1%2C10%2C-x%5E2%2B6x-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "second graph:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28900%2C900%2C-25%2C25%2C-100%2C10%2C-x%5E2%2B6x-5%29 ALIGN=MIDDLE  ALT=\"graph%28900%2C900%2C-25%2C25%2C-100%2C10%2C-x%5E2%2B6x-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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