document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=367357>Question 367357</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi there, I have to find the quadratic equation that has vertex (-1, -3) and y-intercept (0, -1).\r<BR>\n" );
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document.write( "I plugged the vertex into the vertex form and got\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%28x+%2B+1%29%5E2+-+3 ALIGN=MIDDLE  ALT=\"a%28x+%2B+1%29%5E2+-+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Then I plugged in the given y-intercept and solved for a\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1+=+a%280+%2B+1%29%5E2+-+3 ALIGN=MIDDLE  ALT=\"-1+=+a%280+%2B+1%29%5E2+-+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+2 ALIGN=MIDDLE  ALT=\"a+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So my vertex form will be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28x%2B1%29%5E2-3 ALIGN=MIDDLE  ALT=\"2%28x%2B1%29%5E2-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Converting this to general form...\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28x%5E2+%2B+2x+%2B+1%29+-+3 ALIGN=MIDDLE  ALT=\"2%28x%5E2+%2B+2x+%2B+1%29+-+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%5E2+%2B+4x+%2B+2%29+-+3 ALIGN=MIDDLE  ALT=\"%282x%5E2+%2B+4x+%2B+2%29+-+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2+%2B+4x+-+1 ALIGN=MIDDLE  ALT=\"2x%5E2+%2B+4x+-+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Did I do this correctly? I've never seen a problem like this and couldn't find an example in the book. Thanks for your time and have a good evening :) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #261881 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=261881\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> vertex (-1, -3) and y-intercept (0, -1).<BR>\n" );
document.write( "y=a(x-h)^2+k vertex point=(h,k)=(-1,-3)<BR>\n" );
document.write( "=a(x+1)^2-3<BR>\n" );
document.write( "-1=a(0+1)^2-3<BR>\n" );
document.write( "-1=a-3<BR>\n" );
document.write( "a=2<BR>\n" );
document.write( "y=2(x+1)^2-3<BR>\n" );
document.write( "=2(x^2+2x+1)-3<BR>\n" );
document.write( "=2x^2+4x+2-3<BR>\n" );
document.write( "=2x^2+4x-1<BR>\n" );
document.write( ".<BR>\n" );
document.write( "You did it correctly.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Ed </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );