document.write( "Question 73929This question is from textbook Algebra Structure and Method
\n" ); document.write( ": Written Exercises#6,14,30,38 Pgs.386-387 \r
\n" ); document.write( "\n" ); document.write( "6.Draw the graph of the linear function n(x)=0\r
\n" ); document.write( "\n" ); document.write( "14.For the function f(x)= 4x-x^2 find the coordinates of the vertx, graph the equation\r
\n" ); document.write( "\n" ); document.write( "30. For the equation y= 6+6x-1/3x^2 find the vertex and the axis of symmetry\r
\n" ); document.write( "\n" ); document.write( "38. For the function f(x) = x^2-8x+15 find f(0) \n" ); document.write( "

Algebra.Com's Answer #52952 by rmromero(383) $\"\"$ $\"About$

You can put this solution on YOUR website!


\n" );
document.write( "Written Exercises#6,14,30,38 Pgs.386-387 \r
\n" );
document.write( "\n" );
document.write( "6.Draw the graph of the linear function n(x)=0\r
\n" );
document.write( "\n" );
document.write( "\r
\n" );
document.write( "\n" );
document.write( "The graph is a vertical line along y-axis\r
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "14.For the function f(x)= 4x-x^2 find the coordinates of the vertx, graph the equation.\r
\n" );
document.write( "\n" );
document.write( "Vertex : f(x)= 4x-x^2. remember the standard form of a quadratic equation
\n" );
document.write( " ax^2 + bx + c = 0. Rewrite f(x)= 4x-x^2 in standard form f(x) = -x^2 + 4x + 0
\n" );
document.write( "a = -1, b = 4, c = 0\r
\n" );
document.write( "\n" );
document.write( " Formula for solving the vertex :  
\n" );
document.write( "                     -b
\n" );
document.write( "                x = ____
\n" );
document.write( "                     2a
\n" );
document.write( "                   
\n" );
document.write( "                     -4
\n" );
document.write( "                 = _______
\n" );
document.write( "                    2(-1)\r
\n" );
document.write( "\n" );
document.write( "                     -4
\n" );
document.write( "                 = _______ or 2
\n" );
document.write( "                     -2\r
\n" );
document.write( "\n" );
document.write( "Using x = 2 substitute it to \r
\n" );
document.write( "\n" );
document.write( "         f(x)= 4x-x^2
\n" );
document.write( "             = 4(2) - (2^2)
\n" );
document.write( "             = 8 - 4
\n" );
document.write( "             = 4\r
\n" );
document.write( "\n" );
document.write( "Vertex is (2, 4)\r
\n" );
document.write( "\n" );
document.write( "
\n" );
document.write( "   \r
\n" );
document.write( "\n" );
document.write( "30. For the equation y= 6+6x-1/3x^2 find the vertex and the axis of symmetry\r
\n" );
document.write( "\n" );
document.write( "Can you give me the right equation?\r
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "38. For the function f(x) = x^2-8x+15 find f(0); x = 0\r
\n" );
document.write( "\n" );
document.write( "     f(0) = 0^2 - 8(0) + 15
\n" );
document.write( "          = 15 \n" );
document.write( "

\n" );