y =
x2
+
x
+
Vertex—
Axis of symmetry—
Minimum / maximum—
Vertex form—
Step by step
Find the vertex of a parabola y = ax² + bx + c — with the axis of symmetry, whether it is a minimum or maximum, the vertex form and a graph.
Step by step
Enter the coefficients a, b and c to get the vertex and vertex form.
Type the coefficients of y = ax² + bx + c. a must not be zero, or the graph is a line rather than a parabola.
The vertex is at x = −b ⁄ (2a); substituting that x gives the y-coordinate. It is the lowest point when the parabola opens up and the highest when it opens down.
The calculator rewrites the quadratic as y = a(x − h)² + k, where (h, k) is the vertex — the form that shows the vertex directly.