document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=681992>Question 681992</A>: <I><SPAN STYLE=\"word-break: break-all;\"> it says, \"Sketch the graphs, using the function and three points: two roots and the turning point.\r<BR>\n" );
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document.write( "f(x)= x^2-2x-8\r<BR>\n" );
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document.write( "f(x)= x^2-2x-15 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #422933 by </B><A HREF=/tutors/aboutme.mpl?userid=ReadingBoosters><B>ReadingBoosters(3246)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ReadingBoosters><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=422933\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-2x-8 ALIGN=MIDDLE  ALT=\"x%5E2-2x-8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=(x-4)(x+2)<BR>\n" );
document.write( "roots/zeros/intercepts at 4 and -2<BR>\n" );
document.write( "Plot (4, 0) and (-2, 0)<BR>\n" );
document.write( "...<BR>\n" );
document.write( "complete the square to find turning point<BR>\n" );
document.write( "x^2 - 2x - 8 = 0<BR>\n" );
document.write( "x^2 - 2x + 1 = 8 + 1<BR>\n" );
document.write( "x^2 - 2x + 1 = 9<BR>\n" );
document.write( "y = (x-1)^2 - 9<BR>\n" );
document.write( "vertex/turning point at 1, -9<BR>\n" );
document.write( "Plot (1,-9)<BR>\n" );
document.write( "...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C200%2C-10%2C10%2C-10%2C10%2Cx%5E2-2x-8%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C200%2C-10%2C10%2C-10%2C10%2Cx%5E2-2x-8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "f(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-2x-15 ALIGN=MIDDLE  ALT=\"x%5E2-2x-15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= (x-5)(x+3)<BR>\n" );
document.write( "roots/zeros/intercepts at 5 and -3<BR>\n" );
document.write( "Plot (5, 0) and (-3, 0)<BR>\n" );
document.write( "...<BR>\n" );
document.write( "complete the square to find the turning point<BR>\n" );
document.write( "x^2 - 2x - 15 = 0<BR>\n" );
document.write( "x^2 - 2x = 15<BR>\n" );
document.write( "x^2 - 2x + 1 = 15 + 1<BR>\n" );
document.write( "(x-1)^2 - 16 = 0<BR>\n" );
document.write( "y = (x-1)^2 - 16<BR>\n" );
document.write( "Plot (1,-16)<BR>\n" );
document.write( "...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C200%2C-10%2C10%2C-20%2C10%2Cx%5E2-2x-15%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C200%2C-10%2C10%2C-20%2C10%2Cx%5E2-2x-15%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".....................<BR>\n" );
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