Algebra & Equations
Quadratic Vertex
Vertex of a parabola y = ax²+bx+c.
Formula
Formula
(h, k) = (−b2a, c − b24a)
Variables
| Symbol | Definition | Type & range | Units | Role |
|---|---|---|---|---|
| h | vertex x-coordinate | computed result | — | result |
| k | vertex y-coordinate | computed result | — | result |
Try it yourself
Interactive calculator
Worked examples
Example 1
Givena = 1, b = -4, c = 7
Result
h
2
k
3
Example 2
Givena = 2, b = 8, c = 1
Result
h
-2
k
-7