document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=391299>Question 391299</A>: <I><SPAN STYLE=\"word-break: break-all;\"> write the function f(x)=4x^2-48x-141 in vertex form, and identify its vertex<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 #277586 by </B><A HREF=/tutors/aboutme.mpl?userid=haileytucki><B>haileytucki(390)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=haileytucki><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/cgi-bin/show-face.mpl?user=haileytucki><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=277586\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(x)=4x^(2)-48x-141\r<BR>\n" );
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document.write( "Replace f(x) with y to find the properties of the parabola.<BR>\n" );
document.write( "y=4x^(2)-48x-141\r<BR>\n" );
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document.write( "To create a trinomial square on the left-hand side of the equation, add a value to both sides of the equation that is equal to the square of half the coefficient of x.  In this problem, add (-6)^(2) to both sides of the equation.<BR>\n" );
document.write( "y=4(x^(2)-12x+36)+4(-(141)/(4))-(4)(0+36)\r<BR>\n" );
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document.write( "Remove the 0 from the polynomial; adding or subtracting 0 does not change the value of the expression.<BR>\n" );
document.write( "y=4(x^(2)-12x+36)+4(-(141)/(4))-(4)(36)\r<BR>\n" );
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document.write( "Factor the perfect trinomial square into (x-6)^(2).<BR>\n" );
document.write( "y=4((x-6)^(2))+4(-(141)/(4))-(4)(36)\r<BR>\n" );
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document.write( "Factor the perfect trinomial square into (x-6)^(2).<BR>\n" );
document.write( "y=4(x-6)^(2)+4(-(141)/(4))-(4)(36)\r<BR>\n" );
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document.write( "Multiply 4 by each term inside the parentheses.<BR>\n" );
document.write( "y=4(x-6)^(2)-141-(4)(36)\r<BR>\n" );
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document.write( "Multiply 4 by 36 to get 144.<BR>\n" );
document.write( "y=4(x-6)^(2)-141-(144)\r<BR>\n" );
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document.write( "Multiply -1 by the 144 inside the parentheses.<BR>\n" );
document.write( "y=4(x-6)^(2)-141-144\r<BR>\n" );
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document.write( "Subtract 144 from -141 to get -285.<BR>\n" );
document.write( "y=4(x-6)^(2)-285\r<BR>\n" );
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document.write( "This is the form of a paraboloa.  Use this form to determine the values used to find vertex and x-y intercepts.<BR>\n" );
document.write( "y=a(x-h)^(2)+k\r<BR>\n" );
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document.write( "Use the standard form to determine the vertex and x-y intercepts.<BR>\n" );
document.write( "a=4_k=-285_h=6\r<BR>\n" );
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document.write( "The vertex of a parabola is (h,k).<BR>\n" );
document.write( "Vertex: (6,-285) </SPAN>\n" );
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