Question

Please help

Write the standard equation of a circle with center (−1, −1) and radius 1.

A: (x + 1)^2 + (y + 1)^2 = 1

B: (x + 1)^2 + (y – 1)^2 = 1

C: (x – 1)^2 + (y + 1)^2 = 1

D: (x – 1)^2 + (y – 1)^2 = 1

Answer 1

The answer to your question is the letter A

Explanation:

Data

Center = (-1, -1)

radius = 1

Process

1.- Write the standard equation of any circle

(x - h)² + (y- k)² = r²

where h = -1 and k = -1

2.- Substitute the values, do not forget to change the signs of h and k

(x + 1)² + (y + 1)² = 1²

3.- Simplifying and result

(x + 1)² + (y + 1)² = 1