Vertex Form Calculator
Convert a quadratic equation from standard form to vertex form and find the vertex coordinates.
Published by:
isCalculator Editorial Team
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How to use this tool?
How to use the Vertex Form Calculator
- Enter coefficients in the three input fields:
- a – coefficient of x² (cannot be zero)
- b – coefficient of x
- c – constant term
- Click "Calculate Vertex Form".
- Read the result – the quadratic in vertex form:
y = a(x - h)² + k, plus the vertex coordinates(h, k)and step-by-step derivation.
Tip: If you see "Invalid: a cannot be zero", change the a value to a non-zero number.
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Frequently Asked Questions
Vertex form is a way of writing a quadratic equation as y = a(x - h)² + k, where (h, k) is the vertex of the parabola.
Use the formulas h = -b/(2a) and k = c - b²/(4a) to find the vertex, then substitute into y = a(x - h)² + k.
If a is zero, the equation is not quadratic, and the calculator will show an error.
