Vertex Form Calculator

Vertex Form Calculator

Convert a quadratic from standard form to vertex form.

Last updated: June 2026 | By Patchwork Team

Calculation steps
Complete the square for ax^2 + bx + c.
Find the vertex (h, k).
Write the equation in vertex form.
Vertex form
y = 1(x - 0.00)^2 + 0.00
Vertex: (0.00, 0.00)
Axis of symmetry: x = 0.00

What Is Vertex Form?

Vertex form writes a quadratic as y = a(x - h)^2 + k, where (h, k) is the vertex.

How To Convert To Vertex Form

  1. Start with ax^2 + bx + c.
  2. Complete the square.
  3. Read h and k from the vertex form.

Frequently Asked Questions

What if a is 0?

The expression is not quadratic, so the calculator rejects it.

What does h represent?

h is the x-coordinate of the vertex and the axis of symmetry.

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