document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=626552>Question 626552</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that f(x)=x^2+4x-12. \r<BR>\n" );
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document.write( "A.what is the vertex of f? <BR>\n" );
document.write( "B. what are the x-intercepts of the graph of f? <BR>\n" );
document.write( "C. solve f(x)= -12 for x. what points are on the graph of f ?<BR>\n" );
document.write( " D. use the information obtained in parts A-C to grapgh f(x)=x^2 +4x-12 \r<BR>\n" );
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document.write( "answers in ordered pair for a through c.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #394318 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=394318\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose that f(x)=x^2+4x-12.<BR>\n" );
document.write( "complete the square<BR>\n" );
document.write( "f(x)=(x^2+4x+4)-12-4<BR>\n" );
document.write( "f(x)=(x+2)^2-16<BR>\n" );
document.write( "This is an equation of a parabola that opens upwards.<BR>\n" );
document.write( "Its standard form: y=(x-h)^2+k (h,k)=(x,y) coordinates of the vertex .<BR>\n" );
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document.write( "A.what is the vertex of f? (-2,16)<BR>\n" );
document.write( "B. what are the x-intercepts of the graph of f? (-6 and 2)<BR>\n" );
document.write( "set y=0, then solve for x<BR>\n" );
document.write( "0=(x+2)^2-16<BR>\n" );
document.write( "(x+2)^2=16<BR>\n" );
document.write( "x+2=±&#8730;16=±4<BR>\n" );
document.write( "x=-6 or x=2<BR>\n" );
document.write( "C. solve f(x)= -12 for x. what points are on the graph of f ? (12,180), (-2,16), (0,-6), (0,2)<BR>\n" );
document.write( "f(12)=12^2+4*12-12=144+48-12=180<BR>\n" );
document.write( "D. use the information obtained in parts A-C to grapgh f(x)=x^2 +4x-12 <BR>\n" );
document.write( "answers in ordered pair for a through c.<BR>\n" );
document.write( "see graph below:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-20%2C+20%2C+-20%2C+20%2Cx%5E2%2B4x-12%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+300%2C+-20%2C+20%2C+-20%2C+20%2Cx%5E2%2B4x-12%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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