document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1183272>Question 1183272</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Think about the standard parabola defined by y=x^2. How does the parabola<BR>\n" );
document.write( "defined by y=-4(x+3)^2-7 compare to the standard parabola? Describe all of<BR>\n" );
document.write( "the transformations. Then, draw a reasonable sketch of both parabolas. Appreciate the help </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #813502 by </B><A HREF=/tutors/aboutme.mpl?userid=Solver92311><B>Solver92311(821)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Solver92311><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=Solver92311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=813502\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\"> \r<BR>\n" );
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document.write( "The minus sign on the lead coefficient makes the transformed parabola open downward.  The lead coefficient of 4 compresses the graph horizontally by a factor of 4.  The +3 inside the parentheses with the <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\"> moves the vertex (and the axis of symmetry) 3 units to the left.  The -7 moves the vertex down 7.  So the vertex is at (-3,-7). The axis of symmetry is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\,=\,-3)\">.  For your sketch, plot (-2,-11) (-11 by calculation) and (-4,-11) (by symmetry).\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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document.write( "From <https://www.algebra.com/cgi-bin/upload-illustration.mpl> <BR>\n" );
document.write( "I > Ø<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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