# How to find the vertex of a parabola

MIT grad explains how to find the vertex of a parabola. You can get the vertex from the parabola equation (standard form or vertex form). To skip ahead: 1) F. The Vertex of a Parabola The vertex of a parabola is the point where the parabola crosses its axis of symmetry. If the coefficient of the x 2 term is positive, the vertex will be the lowest point on the graph, the point at the bottom of the “ U ”-shape. This algebra 2 video tutorial explains how to find the vertex of a parabola given a quadratic equation in standard form, vertex form, and factored form. It discusses how to find the x and y. Sal rewrites the equation y=-5x^2-20x+15 in vertex form (by completing the square) in order to identify the vertex of the corresponding parabola. How to Find the Vertex. There are multiple mathematical functions that use vertices. Polyhedrons have vertices, systems of inequalities can have one vertex or multiple vertices, and parabolas or quadratic equations can have a vertex, as. Vertex of a parabola, explained with pictures and examples and formulas. In mathematical terms, a parabola is expressed by the equation f(x) = ax^2 + bx + c. Finding the midpoint between the parabola's two x-intercepts gives you the x-coordinate of the vertex, which you can then substitute into the equation to find the y-coordinate as well. When you write down the vertex in your homework, write down the exact coordinates: ( –1 / 6, –25 / 12).But for graphing purposes, the decimal approximation of (–0.2, –2.1) may be more helpful, since it's easier to locate on the axes.The only other consideration regarding the vertex is the axis of symmetry. How to Find the Vertex of a Quadratic Equation. The vertex of a quadratic equation or parabola is the highest or lowest point of that equation. It lies on the plane of symmetry of the entire parabola as well; whatever lies on the left of.