document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=18492>Question 18492</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello again!\r<BR>\n" );
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document.write( "I really need help with this problem. Could someone kindly help me?<BR>\n" );
document.write( "The class is working with Quadratic functions and graphs – I'm supposed to find the vertex and intercepts , then sketch its graph. l really need help.\r<BR>\n" );
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document.write( "y= -x^2 + 2x + 3\r<BR>\n" );
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document.write( "This is a head-scratcher for me. Thanks for all of the help. It is appreciated. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #8881 by </B><A HREF=/tutors/aboutme.mpl?userid=Alwayscheerful><B>Alwayscheerful(414)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alwayscheerful><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=8881\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi<BR>\n" );
document.write( "I reccomend finding the vertex first, then the intercepts, then finally graph it.  You can find the vertex using vertex form:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-k=a%28x-h%29%5E2 ALIGN=MIDDLE  ALT=\"y-k=a%28x-h%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(h,k) is your vertex<BR>\n" );
document.write( "If you don't like doing a lot of math, here is a short cut<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=-b%2F2a ALIGN=MIDDLE  ALT=\"h=-b%2F2a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Standard form for quadratic equations: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax%5E2%2Bbx%2Bc=0 ALIGN=MIDDLE  ALT=\"ax%5E2%2Bbx%2Bc=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "That gives you your X value of the vertex.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=-2%2F2%2A-1 ALIGN=MIDDLE  ALT=\"h=-2%2F2%2A-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=1 ALIGN=MIDDLE  ALT=\"h=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "To find the Y value, plug 1 into the X value in the original equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%29%5E2%2B2%281%29%2B3 ALIGN=MIDDLE  ALT=\"%28-1%29%5E2%2B2%281%29%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2B2%2B3=6 ALIGN=MIDDLE  ALT=\"1%2B2%2B3=6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Your vertex is (1,6)<BR>\n" );
document.write( "X and Y-INTERCEPTS<BR>\n" );
document.write( "The Y-intercept is always the number without a variable. So, in this question it is 3<BR>\n" );
document.write( "There will be 2 X-intercepts. <BR>\n" );
document.write( "I will factor this equation to find them.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B1%29%28-x%2B3%29=0 ALIGN=MIDDLE  ALT=\"%28x%2B1%29%28-x%2B3%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "To make this equation 0, the X must be -1 or 3<BR>\n" );
document.write( "So you X-intercepts are (-1,0) and (3,0)\r<BR>\n" );
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document.write( "GRAPH<BR>\n" );
document.write( "First graph the vertex (1,6)<BR>\n" );
document.write( "Graph the X-Intercepts (-1,0) and (3,0)<BR>\n" );
document.write( "Graph the Y-Intercept (0,3)<BR>\n" );
document.write( "Your graph should look like this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C200%2C-5%2C5%2C-5%2C5%2C-x%5E2%2B2x%2B3%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C200%2C-5%2C5%2C-5%2C5%2C-x%5E2%2B2x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Hope this helps! </SPAN>\n" );
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