document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=792919>Question 792919</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use the given information to write the equation of each quadratic equation. The intercepts of the parabola are (-1,0), (5,0) and (0,15). <BR>\n" );
document.write( "My work, <BR>\n" );
document.write( "-1 and 5 are the roots<BR>\n" );
document.write( "while 15 is the y-int.<BR>\n" );
document.write( "(x+1)(x-5)<BR>\n" );
document.write( "x^2-4x-5<BR>\n" );
document.write( "-3(x^2-4x-5) = -3x^2+12x+15 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #480720 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=480720\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use the given information to write the equation of each quadratic equation. The intercepts of the parabola are (-1,0), (5,0) and (0,15).<BR>\n" );
document.write( "My work,<BR>\n" );
document.write( "-1 and 5 are the roots<BR>\n" );
document.write( "while 15 is the y-int.<BR>\n" );
document.write( "(x+1)(x-5)<BR>\n" );
document.write( "x^2-4x-5<BR>\n" );
document.write( "-3(x^2-4x-5) = -3x^2+12x+15<BR>\n" );
document.write( "***<BR>\n" );
document.write( "here is another way you can do it:<BR>\n" );
document.write( "........y=ax^2+bx+c<BR>\n" );
document.write( "(-1,0)..0=a-b+c<BR>\n" );
document.write( "(5,0)...0=25a+5b+c<BR>\n" );
document.write( "(0,15)..15=0+0+c<BR>\n" );
document.write( "..<BR>\n" );
document.write( "c=15<BR>\n" );
document.write( "a-b=15<BR>\n" );
document.write( "25a+5b+15=0<BR>\n" );
document.write( "..<BR>\n" );
document.write( "5a-5b+75=0<BR>\n" );
document.write( "25a+5b+15=0<BR>\n" );
document.write( "add<BR>\n" );
document.write( "30a+90=0<BR>\n" );
document.write( "30a=-90<BR>\n" );
document.write( "a=-3<BR>\n" );
document.write( "b=a+15=-3+15=12<BR>\n" );
document.write( "..<BR>\n" );
document.write( "a=-3, b=12, c=15<BR>\n" );
document.write( "Equation: -3x^2+12x+15 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );