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Vertex of a Parabola

The vertex of a parabola is the exact point where the parabola intersects its axis of symmetry. Depending on the direction the parabola opens, this point is either the lowest point on the curve (for an upward-opening parabola) or the highest point (for a downward-opening parabola). For a parabola in the general form y=ax2+bx+cy = ax^2 + bx + c, the vertex is found by first computing the xx-coordinate using x = - rac{b}{2a} and then substituting that value back into the equation to solve for yy. For a parabola in the standard form y=a(xh)2+ky = a(x - h)^2 + k, the vertex is directly read as the point (h,k)(h, k).

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Updated 2026-05-19

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