□²

Completing the Square Calculator

Complete the square for quadratic equations ax² + bx + c = 0

Coefficient a (x² term)

Coefficient b (x term)

Constant c

Standard Form

ax² + bx + c = 0

Starting equation

Vertex Form

a(x - h)² + k = 0

Completed square form

Key Step

Add (b/2a)² to both sides

Creates perfect square

Vertex

(h, k) = (-b/2a, f(-b/2a))

Parabola vertex

Algebra

• Solving quadratics

• Finding vertex

• Deriving quadratic formula

Graphing

• Parabola vertex

• Axis of symmetry

• Maximum/minimum

Calculus

• Optimization

• Integration

• Conic sections