document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1203554>Question 1203554</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Graph the equation y = - 3x^2\r<BR>\n" );
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document.write( "Can you please explain to me this homework question by showing the steps? Thank you very much! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #839208 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=839208\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "A graph is a collection of (x,y) points on the xy grid.<BR>\n" );
document.write( "Often we connect the dots with some kind of line or curve.<BR>\n" );
document.write( "In this case we'll have a bowl-shaped curve known as a parabola.\r<BR>\n" );
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document.write( "We select values of x to find corresponding values of y to get the (x,y) points needed.\r<BR>\n" );
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document.write( "Let's try x = -1<BR>\n" );
document.write( "y = -3x^2<BR>\n" );
document.write( "y = -3(-1)^2<BR>\n" );
document.write( "y = -3(1)<BR>\n" );
document.write( "y = -3<BR>\n" );
document.write( "Therefore the input x = -1 in the domain maps to y = -3 in the range.<BR>\n" );
document.write( "In short, the point (x,y) = (-1,-3) is on the parabola.\r<BR>\n" );
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document.write( "Repeat similar steps to find that (0,0) and (1,-3) are other points on the parabola.\r<BR>\n" );
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document.write( "Do this as many times as needed to generate the points to form the parabola. The more points you plot, the more accurate the curve will be. \r<BR>\n" );
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document.write( "Graph:<BR>\n" );
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document.write( "I recommend using a graphing tool like Desmos or GeoGebra (or similar) to verify the answer.<BR>\n" );
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