Use Newton's Method to Find the Point on the Graph $f ( x ) = 4 - x ^ { 2 }$

Multiple Choice

Use Newton's Method to find the point on the graph of $f ( x ) = 4 - x ^ { 2 }$ that is closest to the point $( 1,0 )$ . Round your answer to three decimal places.

A) $( 1.926,0.291 )$
B) $( 2.485,0.291 )$
C) $( 1.926,1.526 )$
D) $( 0.670,0.291 )$
E) $( 1.926 , - 2.27 )$