document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=909158>Question 909158</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The graph of y=(m-3)-mx-x^2 touches the x-axis<BR>\n" );
document.write( "I have calculated the first two parts of the question which give me:<BR>\n" );
document.write( "When m=2, x intercept =-1<BR>\n" );
document.write( "When m=-6, x intercept =3<BR>\n" );
document.write( "So my question is: For each set of values found, find the area of the triangle formed by the x-intercepts and y-intercept.<BR>\n" );
document.write( "Please help me with this question </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #551712 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=551712\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> when m = 2,  we have y = -x^2 -2x -1<BR>\n" );
document.write( "when m = -6, we have y = -x^2 +6x -9<BR>\n" );
document.write( "the above are two equations of parabolas that curve downward<BR>\n" );
document.write( "a) y = -x^2 -2x -1 factors into (-x-1) * (x+1) and<BR>\n" );
document.write( "x intercept is -1<BR>\n" );
document.write( "y intercept is -1<BR>\n" );
document.write( "b) y = -x^2 +6x -9 factors into (-x+3) * (x-3) and<BR>\n" );
document.write( "x intercept is 3<BR>\n" );
document.write( "y intercept is -9<BR>\n" );
document.write( "c) for each triangle the base is 4 units<BR>\n" );
document.write( "Area (A) of triangle is (1/2)*base*height<BR>\n" );
document.write( "for a) A = (1/2)*4*1 = 2<BR>\n" );
document.write( "for b) A = (1/2)*4*9 = 18<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );