Question

Part 1: Identify the center and radius of each. Then sketch the graph. Please show work

1. (x + 4)^2 + (y + 1)^2 = 1

2. (x - 3)^2 + (y + 4)^2 = 9

3. x^2 + (y - 2)^2 = 16

4. (x + 3)^2 + (y - 1)^2 = 9

Answer 1

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

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