document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=2688>Question 2688</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use the equation y=x(squared)-3x-10\r<BR>\n" );
document.write( "\n" );
document.write( "-compared to the graph of y=-3x(squared), does this graph open in the same direction or opposite?\r<BR>\n" );
document.write( "\n" );
document.write( "-find x-intercepts for the graph\r<BR>\n" );
document.write( "\n" );
document.write( "-----------------------------------------------------<BR>\n" );
document.write( "could you please answer as soon as possible and please explain how you got your answer and why it is correct...thank you so much! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #1264 by </B><A HREF=/tutors/aboutme.mpl?userid=khwang><B>khwang(438)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=khwang><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=1264\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">    y=x^2-3x-10 -compared to the graph of y=-3x^2, <BR>\n" );
document.write( " does this graph open in the same direction or opposite? <BR>\n" );
document.write( " -find x-intercepts for the graph <BR>\n" );
document.write( " <BR>\n" );
document.write( " At first you should know how to type the squares correctly.\r<BR>\n" );
document.write( "\n" );
document.write( " Use complete square to y=x^2-3x-10, we have<BR>\n" );
document.write( " y = (x-3/2)^2 -10 -9/4 = (x-3/2)^2 -49/4 or<BR>\n" );
document.write( " y + 49/4 = (x-3/2)^2<BR>\n" );
document.write( " So, this parabola has vertex (3/2,-49/4) and open upward (since (x-3/2)^2 >=0)<BR>\n" );
document.write( " Another graph  y=-3x^2 has vertex (0,0) and open downward (since -3x^2 <=0)\r<BR>\n" );
document.write( "\n" );
document.write( " Also, set y=0, in y=x^2-3x-10 =0, <BR>\n" );
document.write( " By factoring x^2-3x-10 = (x-5)(x+2) =0, we have x=5 or -2.<BR>\n" );
document.write( " So, y=x^2-3x-10 has two x-intercepts 5 ,-2.\r<BR>\n" );
document.write( "\n" );
document.write( " Clearly, set y=0, in y=-3x^2, we have the x-intercept =0.\r<BR>\n" );
document.write( "\n" );
document.write( " Graphs as below:\r<BR>\n" );
document.write( "\n" );
document.write( "   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-2%2C+6%2C+-12%2C+5%2C+x%5E2-3x-10%2C+-3x%5E2%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-2%2C+6%2C+-12%2C+5%2C+x%5E2-3x-10%2C+-3x%5E2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );