Question

Vertex of the parabola y² + 2y + x = 0 lies in the

Options

• First quadrant

• Second quadrant

• Third quadrant

• Fourth quadrant

Answer 1

Fourth quadrant

Explanation:

y² + 2y + x = 0

⇒ y² + 2y + 1 = - x + 1

⇒ (y + 1)² = - (x - 1)

Hence, the vertex is (1, - 1), which lies in the IVth quadrant.