Question

Which is an equation for the circle?

Answer 1

Option D.

Explanation:

From the given graph,

Center of the circle = (-4, -2)

This circle passes through a point (0, -3),

Radius of the circle = Distance between center and point (0, -3)

r =
`\sqrt{(0+4)^(2)+(-3+2)^(2)}`

r =
`√(17)`

Standard equation of the circle is,

(x - h)² + (y - k)² = r²

Where (h, k) is the center and r is the radius of the circle.

By putting the values in this equation,

(x + 4)² + (y + 2)² = (√17)²

(x + 4)² + (y + 2)² = 17

Option D. will be the answer.