document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=772686>Question 772686</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given f(x) =3x^2-4x-4<BR>\n" );
document.write( "A)express the function in vertex form f(x) =a(x-h)^2 +k\r<BR>\n" );
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document.write( "B)sketch its graph and label the x-int, if any, as well as the vertex and y-int\r<BR>\n" );
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document.write( "C) identify the domain and range  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #471051 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=471051\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given f(x) =3x^2-4x-4<BR>\n" );
document.write( "A)express the function in vertex form f(x) =a(x-h)^2 +k <BR>\n" );
document.write( "B)sketch its graph and label the x-int, if any, as well as the vertex and y-int <BR>\n" );
document.write( "C) identify the domain and range<BR>\n" );
document.write( "***<BR>\n" );
document.write( "A)<BR>\n" );
document.write( "y=3x^2-4x-4<BR>\n" );
document.write( "complete the square:<BR>\n" );
document.write( "y=3(x^2-4x/3+4/9)-4/3-4<BR>\n" );
document.write( "y=3(x-2/3)^2-16/3<BR>\n" );
document.write( "..<BR>\n" );
document.write( "C)<BR>\n" );
document.write( "Domain: all real numbers or (-&#8734;, &#8734;)<BR>\n" );
document.write( "Range: [-16/3,&#8734;)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "B)<BR>\n" );
document.write( "Vertex: (2/3,-16/3)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "y-int:<BR>\n" );
document.write( "set x=0<BR>\n" );
document.write( "y=3x^2-4x-4=-4<BR>\n" );
document.write( "y=-4<BR>\n" );
document.write( "..<BR>\n" );
document.write( "x-int:<BR>\n" );
document.write( "set y=0<BR>\n" );
document.write( "3x^2-4x-4=0<BR>\n" );
document.write( "(3x+2)(x-2)=0<BR>\n" );
document.write( "x=-2/3<BR>\n" );
document.write( "or<BR>\n" );
document.write( "x=2<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+-10%2C+10%2C+-10%2C+10%2C3x%5E2-4x-4%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C3x%5E2-4x-4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );