Answer: 1. Center = (-4, -1) radius = 1
2. Center = (3, -4) radius = 3
3. Center = (0, 2) radius = 4
4. Center = (-3, 1) radius = 3
Step-by-step explanation:
The standard form of a circle is (x - h)² + (y - k)² = r²
- (h, k) is the center
- r is the radius
1) (x + 4)² + (y + 1)² = 1
(x - (-4))² + (y - (-1))² = 1² → (h, k) = (-4, -1) r = 1
2) (x - 3)² + (y + 4)² = 9
(x - (3))² + (y - (-4))² = 3² → (h, k) = (3, -4) r = 3
3) x² + (y - 2)² = 16
(x - (0))² + (y - (2))² = 4² → (h, k) = (0, 2) r = 4
4) (x + 3)² + (y - 1)² = 9
(x - (-3))² + (y - (1))² = 3² → (h, k) = (-3, 1) r = 3
