document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=136502>Question 136502</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Consider the function f(x)=x^2-6x+2\r<BR>\n" );
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document.write( "Find h, the x-coordinate of the vertex of this parabola, show the work </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #99988 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=99988\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Consider the function f(x)=x^2-6x+2\r<BR>\n" );
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document.write( "Find h, the x-coordinate of the vertex of this parabola, show the work<BR>\n" );
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document.write( "There are at least two ways to find the vertex:<BR>\n" );
document.write( "1st Way: <BR>\n" );
document.write( "x = -b/2a = 6/2 = 3<BR>\n" );
document.write( "y = f(3) = 9-18+2 = -7<BR>\n" );
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document.write( "2nd way:<BR>\n" );
document.write( "x^2-6x = y - 2<BR>\n" );
document.write( "Complete the square to get:<BR>\n" );
document.write( "x^2-6x+9 = y + 7<BR>\n" );
document.write( "(y-3)^2 = y+7<BR>\n" );
document.write( "h = 3 ; k = -7<BR>\n" );
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document.write( "Substitute the two integers <BR>\n" );
document.write( "immediately to the left of h and the two integers immediately to the right of h <BR>\n" );
document.write( "into the function to find the corresponding y.  Fill in the following table. <BR>\n" );
document.write( "Make sure your x-values are in increasing order in your table<BR>\n" );
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document.write( "Let x = 1, then y = 1^2-6*1+2 = -3<BR>\n" );
document.write( "Let x = 2, then y = 2^2-6*2+2 = -6<BR>\n" );
document.write( "Let x = 4, then y = 4^2-6*4+2 = -6<BR>\n" );
document.write( "Let x = 5, then y = 5^2-6*5+2 = -3<BR>\n" );
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document.write( "Graph:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cx%5E2-6x%2B2%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cx%5E2-6x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=============================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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