document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1162551>Question 1162551</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find an equation in standard form of the parabola described.<BR>\n" );
document.write( "Vertex at (-4, -4); passes through (0, 0) </SPAN>\n" );
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document.write( "There are two parabolas that satisfy the given conditions -- one opening up and another opening to the right.<br><BR>\n" );
document.write( "Assuming a parabola that opens up....<br><BR>\n" );
document.write( "The vertex form of the equation of a parabola is<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y-k%29+=+a%28x-h%29%5E2 ALIGN=MIDDLE  ALT=\"%28y-k%29+=+a%28x-h%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "where the vertex is (h,k).<br><BR>\n" );
document.write( "So the equation of this parabola is<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%2B4%29+=+a%28x%2B4%29%5E2 ALIGN=MIDDLE  ALT=\"%28y%2B4%29+=+a%28x%2B4%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Use the coordinates of the known point to find the coefficient a:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280%2B4%29+=+a%280%2B4%29%5E2 ALIGN=MIDDLE  ALT=\"%280%2B4%29+=+a%280%2B4%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=4+=+16a ALIGN=MIDDLE  ALT=\"4+=+16a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+1%2F4 ALIGN=MIDDLE  ALT=\"a+=+1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The equation in vertex form is<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%2B4%29+=+%281%2F4%29%28x%2B4%29%5E2 ALIGN=MIDDLE  ALT=\"%28y%2B4%29+=+%281%2F4%29%28x%2B4%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Converting to standard form....<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2B4+=+%281%2F4%29%28x%5E2%2B8x%2B16%29 ALIGN=MIDDLE  ALT=\"y%2B4+=+%281%2F4%29%28x%5E2%2B8x%2B16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2B4+=+%281%2F4%29x%5E2%2B2x%2B4 ALIGN=MIDDLE  ALT=\"y%2B4+=+%281%2F4%29x%5E2%2B2x%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%281%2F4%29x%5E2%2B2x ALIGN=MIDDLE  ALT=\"y+=+%281%2F4%29x%5E2%2B2x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "A graph, showing the parabola passing through (0,0)....<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-6%2C2%2C-6%2C2%2C%281%2F4%29x%5E2%2B2x%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-6%2C2%2C-6%2C2%2C%281%2F4%29x%5E2%2B2x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );