FullCalculator

Parabola Calculator

Vertex Form: y = a(x-h)^2 + k

Standard Form: y = ax^2 + bx + c

From Vertex and a Point

Formula

y = a(x-h)^2 + k | Focus: (h, k+1/(4a)) | Directrix: y = k-1/(4a)

Frequently Asked Questions

What is vertex form of a parabola?
y = a(x-h)^2 + k where (h,k) is the vertex. a determines width and direction.
How do you find the focus?
For y=a(x-h)^2+k, focus is at (h, k+1/(4a)). The directrix is y=k-1/(4a).