document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=526143>Question 526143</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I find the x-intercepts of the parabola with vertex (-3,16)and y-intercept (0,-20) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #348460 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=348460\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How do I find the x-intercepts of the parabola with vertex (-3,16)and y-intercept (0,-20)<BR>\n" );
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document.write( "Standard equation for parabola: y=A(x-h)^2+k, with (h,k) being the (x,y) coordinates of the vertex.<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Given equation: <BR>\n" );
document.write( "y=A(x+3)^2+16<BR>\n" );
document.write( "using given point (0,-20) to solve for A<BR>\n" );
document.write( "-20=A(0+3)^2+16<BR>\n" );
document.write( "9A=-36<BR>\n" );
document.write( "A=-4<BR>\n" );
document.write( "Equation of parabola:<BR>\n" );
document.write( "y=-4(x-h)^2+k<BR>\n" );
document.write( "Find x-intercepts<BR>\n" );
document.write( "set y=0<BR>\n" );
document.write( "0=-4(x+3)^2+16<BR>\n" );
document.write( "4(x+3)^2=16<BR>\n" );
document.write( "(x+3)^2=4<BR>\n" );
document.write( "x+3±&#8730;4=±2<BR>\n" );
document.write( "x=-5<BR>\n" );
document.write( "or<BR>\n" );
document.write( "x=-1<BR>\n" );
document.write( "Ans:<BR>\n" );
document.write( "x-intercepts: -5 and -1 </SPAN>\n" );
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