Use the Given Information About a Circle to Write an Equation

Multiple Choice

Use the given information about a circle to write an equation of the circle in standard form.
-The center is $( 4 , - 1 )$ and the circle is tangent to the $x$ -axis.

A) $( x - 4 ) ^ { 2 } + ( y + 1 ) ^ { 2 } = 16$
B) $( x - 4 ) ^ { 2 } + ( y + 1 ) ^ { 2 } = 1$
C) $( x + 4 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 1$
D) $( x + 4 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 16$