Answer:
<em>( x + 4 )^2 + ( y - 15 )^2 = 1; Option A</em>
Step-by-step explanation:
<em>~ Let us apply the standard circle equation ( x - a )^2 + ( y - b )^2 = r^2, provided r ⇒ radius when centered at point ( a, b ) ~</em>
1. If the center is provided to be ( -4, 15 ) we could substitute this value into the circle equation with variables x and y remaining such:
( x - ( - 4 ) )^2 + ( y - 15)^2 = r^2
2. Simplifying this equation, we have: ( x + 4)^2 + ( y - 15 )^2 = r^2
3. Now by point on the circle, it would be a point on the circumference, to be clear in more mathematical terms. So far we have eliminated two options, with two remain - and each of them has either a radius of 1 or 2. If the point on the circle is ( -4, 16 ) that would mean 1 more than 15, which means that with a radius of 1 ⇒ this point will be on the circle.
<em>Answer: ( x + 4 )^2 + ( y - 15 )^2 = 1</em>
