document.write( "Question 190693: fx=3x squared -18x+4 find the vector, the line of symmetry and max. I have tried every thing from foil to factoring. \n" ); document.write( "
Algebra.Com's Answer #143188 by nerdybill(7384)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( ".\r
\n" ); document.write( "\n" ); document.write( "Everything you need to know about vertex form can be found at:
\n" ); document.write( "http://www.mathwarehouse.com/geometry/parabola/standard-and-vertex-form.php
\n" ); document.write( ".
\n" ); document.write( "f(x)=3x^2 -18x+4
\n" ); document.write( "Group the x terms:
\n" ); document.write( "f(x) = (3x^2 -18x) + 4
\n" ); document.write( "Factor out a 3:
\n" ); document.write( "f(x) = 3(x^2 -6x) + 4
\n" ); document.write( "Complete the square:
\n" ); document.write( "f(x) = 3(x^2 -6x + ___ ) + 4
\n" ); document.write( "f(x) = 3(x^2 -6x + 9 ) + 4 - 18
\n" ); document.write( "f(x) = 3(x+3)^2 - 14
\n" ); document.write( ".
\n" ); document.write( "Vertex: (-3,-14)
\n" ); document.write( "Axis of symmetry: x= (-b)/(2a) = (18)/(2*3) = 3
\n" ); document.write( " x = 3
\n" ); document.write( "Max: Since the coefficient associated with the x^2 term is POSITIVE -- you will have a MINIMUM not a maximum. Minimum is at -14.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );