You can also convert to vertex form by using the knowledge that the vertex lies on the axis of symmetry. You can use completing the square to convert a quadratic in standard form into vertex form. Now all that has to be done is to plug in points around the vertex, then graph. Vertex form makes it much easier to graph a parabola because it makes it easy to plot the vertex.įrom this equation, we can already tell that the vertex of the parabola is at ( 1,4), and the axis of symmetry is at x = 1. Vertex form is very similar to the general expression for function transformations. In vertex form, ( h,k) describes the vertex of the parabola and the parabola has a line of symmetry x = h. If a is negative, the parabola will open downwards. If a is positive, the parabola will open upwards. The a in the vertex form of a parabola corresponds to the a in standard form. The vertex form of a parabola is another form of the quadratic function f(x) = ax 2 + bx + c. The axis of symmetry is located at y = k. The focus of parabolas in this form have a focus located at ( h +, k) and a directrix at x = h. For horizontal parabolas, the vertex is x = a(y - k) 2 + h, where (h,k) is the vertex.
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