document.write( "Question 68518: I do not get how to do this problem. Please help\r
\n" ); document.write( "\n" ); document.write( "f(x) = (x+11)squared -6 \n" ); document.write( "

Algebra.Com's Answer #48802 by Edwin McCravy(20060) $\"\"$ $\"About$

You can put this solution on YOUR website!

I do not get how to do this problem. Please help \r\n" );
document.write( "f(x) = (x+11)squared -6\r\n" );
document.write( "\r\n" );
document.write( "You did not tell us what the instructions were. So\r\n" );
document.write( "I can only guess.  In the future, always state the\r\n" );
document.write( "instructions.\r\n" );
document.write( "\r\n" );
document.write( "f(x) = a(x - h)² + k\r\n" );
document.write( "\r\n" );
document.write( "is the graph of a parabola with vertex (h,k), and\r\n" );
document.write( "its axis of symmetry has equation x = h.  When a\r\n" );
document.write( "is positive, the parabola looks like a U and when\r\n" );
document.write( "a is negative, it looks like an upside-down U.\r\n" );
document.write( "\r\n" );
document.write( "Your problem is\r\n" );
document.write( "\r\n" );
document.write( "f(x) = 1(x + 11)² - 6\r\n" );
document.write( "\r\n" );
document.write( "Compare that to:\r\n" );
document.write( "\r\n" );
document.write( "f(x) = a(x - h)² + k\r\n" );
document.write( "\r\n" );
document.write( "and you see that a = 1, h = -11 and k = -6\r\n" );
document.write( "\r\n" );
document.write( "So its graph is a parabola and looks like a U,\r\n" );
document.write( "since a = 1 is positive.  It's vertex is\r\n" );
document.write( "(h,k) or (-11, -6) and its axis of symmetry\r\n" );
document.write( "has equation x = h or x = -11.  Here is its graph:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Notice that the vertex (-11,-6) is its very lowest\r\n" );
document.write( "point.  So its minimum value is the y-coordinate of\r\n" );
document.write( "this vertex, or minimum value = -6. Here's its graph\r\n" );
document.write( "with the axis of symmetry whose equation is x = -11:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( "

\n" );