How do you convert from standard form to vertex form of a quadratic

Learn how to graph quadratic equations by completeing the square. A quadratic equation is an equation of the form y = ax^2 + bx + c, where a, b and c are constants. The graph of a quadratic equation is in the shape of a parabola which can either face up or down (if x is squared in the equation) or face left or right (if y is squared).

To graph a quadratic equation, we need to know some essential parts of the graph including the vertex. The vertex of a parabola is the turning point of the parabola. It is the point on the parabola at which the curve changes from increasing to decreasing or vice-versa.

Given a quadratic equation in standard form, we obtain the vertex of the equation by using the process of completing the square to rewrite the equation in the vertex form and hence extract the vertex of the parabola formed by the equation. Knowing the vertex of the graph and the parent graph, we can then apply the required transformation to obtain the required graph.
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