freeCodeCamp/guide/english/mathematics/algebra/graphing-quadratics-vertex-.../index.md

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Graphing Quadratics Vertex Form

Graphing Quadratics Vertex Form

Vertex form of a parabola's equation:

Formula showing y equals a times (x minus h)-squared plus k

The point (h, k) is the vertex. When a is positive the parabola opens upwards.

Parabola (u-shaped graph) with the lowest point (the vertex) marked with (h, k)

When a is negative the parabola opens downwards.

Upside-down parabola (u-shaped graph) with the highest point (the vertex) marked with (h, k)

When |a| < 1 the parabola is compressed vertically.

Wider version of a parabola (u-shaped graph)

When |a| > 1 the parabola becomes narrower.

Narrower version of a parabola (u-shaped graph)