document.write( "Question 1179006: The graph of a quadratic function y = g(x) is shown and f(x) = 3x2 + bx + c. If the graph of g(x) is reflected over the y-axis then the new graph will have the same line of symmetry as f(x). Find the value of \"b\" that makes this true. A) -3 B) -6 C) 3 D) 6 \n" ); document.write( "
Algebra.Com's Answer #808497 by ikleyn(52803)\"\" \"About 
You can put this solution on YOUR website!
.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "            It seems to me that I do understand your request.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "            Look attentively for my steps.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "f(x) has the (vertical) axis of symmetry  x = \"-b%2F2a\" = \"-b%2F%282%2A3%29\" = \"-b%2F6\".\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "It means that g(x) has the (vertical) axis of symmetry  x = \"%2Bb%2F6\".\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Now, from your graph, you, the visitor,  SHOULD SEE  that axis of symmetry for g(x),\r\n" );
document.write( "\r\n" );
document.write( "so you can restore the value of  \"b%2F6\" first, and then the value of \"b\" itself.\r\n" );
document.write( "
\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "In short terms,  the symmetry axis for  g(x)  is the mirror reflection of the symmetry axis of  f(x)  relative the  y-axis.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "It means that  b-value for  g(x)  is the opposite number to the  b-value of  f(x).\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "That is all.  Quite obvious.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Solved,  answered and explained.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );