document.write( "Question 1130868: Use the method of completing the square to find the standard form of the quadratic function.
\n" ); document.write( "f(x) = x^2 − 10x + 4
\n" ); document.write( "y =___
\n" ); document.write( "State the vertex and axis of symmetry of the graph of the function.
\n" ); document.write( "axis of symmetry x=____
\n" ); document.write( "vertex (x, y) =
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #747493 by htmentor(1343) $\"\"$ $\"About$

You can put this solution on YOUR website!
f(x) = x^2 − 10x + 4
\n" ); document.write( "To complete the square for x^2 - 10x, since the linear term is -10, the constant term must be half of this, or -5:
\n" ); document.write( "(x - 5)^2 = x^2 - 10x + 25
\n" ); document.write( "25 = 21 + 4, so we need to subtract 21 to retain the original equation:
\n" ); document.write( "f(x) = (x - 5)^2 - 21
\n" ); document.write( "The standard form for a quadratic is y = a(x - h)^2 + k, where (h,k) is the vertex
\n" ); document.write( "Thus the vertex is (5,-21), and the axis of symmetry is x = 5
\n" ); document.write( " \n" ); document.write( "

\n" );