Interactive math tool
Parabola Vertex Form Graphing Tool
Interactive vertex-form parabola tool. Adjust a, h, and k to see how translations move the vertex.
Vertex form y = a(x − h)² + k shows the vertex (h, k) directly. Compare the base y = ax² curve with the translated graph to see shifts clearly.
How it works
- Open the vertex-form scene.
- Adjust h and k to move the vertex.
- Adjust a for opening direction and width.
- Use the dashed base curve to see the translation path.
Worked idea
Start from y = x², shift right by 2 (h = 2) and up by 3 (k = 3) to land on vertex (2, 3).
FAQ
Vertex form vs standard form?
Standard form highlights coefficients a, b, c. Vertex form exposes the vertex for translations and max/min.