document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=175375>Question 175375</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0534386172/algebrahomeworkh>college algebras</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Thank you in advance for helping me with this.\r<BR>\n" );
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document.write( "f(x)= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2%2B3x-1 ALIGN=MIDDLE  ALT=\"2x%5E2%2B3x-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >  I need to graph this quadratic funtion by completing the square.  I figured out the vertix as -17/8,-3/4  I am stuck on figuring out the two other points.  I need help, 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 #130433 by </B><A HREF=/tutors/aboutme.mpl?userid=EMStelley><B>EMStelley(208)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=EMStelley><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=EMStelley><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=130433\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First, let's complete the square.\r<BR>\n" );
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document.write( "f(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2+%2B+3x+-+1 ALIGN=MIDDLE  ALT=\"2x%5E2+%2B+3x+-+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28x%5E2+%2B+%283%2F2%29x%29+-+1 ALIGN=MIDDLE  ALT=\"2%28x%5E2+%2B+%283%2F2%29x%29+-+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28x%5E2+%2B+%283%2F2%29x+%2B+%283%2F4%29%5E2%29+-+1+-+2%283%2F4%29%5E2 ALIGN=MIDDLE  ALT=\"2%28x%5E2+%2B+%283%2F2%29x+%2B+%283%2F4%29%5E2%29+-+1+-+2%283%2F4%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28x+%2B+%283%2F4%29%29%5E2+-+1+-+%289%2F8%29 ALIGN=MIDDLE  ALT=\"2%28x+%2B+%283%2F4%29%29%5E2+-+1+-+%289%2F8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28x+%2B+%283%2F4%29%29%5E2+-+%2817%2F8%29 ALIGN=MIDDLE  ALT=\"2%28x+%2B+%283%2F4%29%29%5E2+-+%2817%2F8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This tells us that the vertex of the parabola is (-3/4, -17/8), which is backwards from what you stated in the problem.  When you say that you are stuck figuring out the other two points, I assume you are referencing the x and y intercepts.  The y intercept is obtained by setting x to 0 in the original problem.  So f(0) = -1 means the y intercept is (0, -1).  In order to find the x intercepts, you set y = 0, and this is easier using the form above (found by completing the square).\r<BR>\n" );
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document.write( "So<BR>\n" );
document.write( "0 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28x+%2B+%283%2F4%29%29%5E2+-+%2817%2F8%29 ALIGN=MIDDLE  ALT=\"2%28x+%2B+%283%2F4%29%29%5E2+-+%2817%2F8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "17/8 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28x+%2B+%283%2F4%29%29%5E2 ALIGN=MIDDLE  ALT=\"2%28x+%2B+%283%2F4%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "17/16 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+%2B+%283%2F4%29%29%5E2 ALIGN=MIDDLE  ALT=\"%28x+%2B+%283%2F4%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2B-sqrt%2817%2F16%29+=+x+%2B+%283%2F4%29 ALIGN=MIDDLE  ALT=\"%2B-sqrt%2817%2F16%29+=+x+%2B+%283%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-3%2F4+%2B-sqrt%2817%2F16%29 ALIGN=MIDDLE  ALT=\"x+=+-3%2F4+%2B-sqrt%2817%2F16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which gives you your two x intercepts.  Hope this helps! </SPAN>\n" );
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