Question

Identify the center and radius of each. Photo attached.

Answer 1

Answer:

Center ~ ( -4, 3 ), Radius ~ 2; Option A

Step-by-step explanation:

~ We know that the standard circle equation ( x - a )^2 + ( y - b )^2 = r^2  provided r ⇒ radius of the circle, centered at ( a, b ) ~

1. If we are given the circle formula ( x + 4 )^2 + ( y - 3 )^2 = 4, it would be that the center points ( a, b ) would be the inverse of 4 and -3, provided the formula is -a and -b: center ( -4, 3 )

2. Now the radius in the formula ( x - a )^2 + ( y - b )^2 = r^2, is noted by r such that in ( x + 4 )^2 + ( y - 3 )^2 = 4, r^2 is 4 ⇒ r = √4 = 2

3. We now know that the center of this circle is ( -4, 3 ) with a radius of 2, and the only graph that represents that function is the first graph ~

Answer: Center ~ ( -4, 3 ), Radius ~ 2