document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1135550>Question 1135550</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find b and c so that y=-15x^2+bx+c has vertex (-10,0)? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #753183 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=753183\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=\"black\" face=\"times\" size=\"3\"><BR>\n" );
document.write( "The given equation is in the form<BR>\n" );
document.write( "y = ax^2 + bx + c<BR>\n" );
document.write( "We see that only a = -15 is known while b and c are currently unknown\r<BR>\n" );
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document.write( "Vertex = (h,k) = (-10,0)<BR>\n" );
document.write( "h = -10 and k = 0\r<BR>\n" );
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document.write( "Vertex Form:<BR>\n" );
document.write( "y = a(x-h)^2 + k<BR>\n" );
document.write( "y = -15(x-(-10))^2 + 0 ... plug in the given values<BR>\n" );
document.write( "y = -15(x+10)^2<BR>\n" );
document.write( "y = -15(x+10)(x+10)<BR>\n" );
document.write( "y = -15(x^2+10x+10x+100) ... FOIL rule<BR>\n" );
document.write( "y = -15(x^2+20x+100)<BR>\n" );
document.write( "y = -15(x^2)-15(20x)-15(100) ... distribute<BR>\n" );
document.write( "y = -15x^2-300x-1500\r<BR>\n" );
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document.write( "Compare that last equation with the form y = ax^2+bx+c and we see that<BR>\n" );
document.write( "a = -15<BR>\n" );
document.write( "b = -300<BR>\n" );
document.write( "c = -1500\r<BR>\n" );
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document.write( "Answers: <BR>\n" );
document.write( "b = -300<BR>\n" );
document.write( "c = -1500<BR>\n" );
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