How to Convert Standard to Vertex

The mathematical equation for a parabola can be written in two forms: either standard or vertex. The standard equation is written in the form "f(x)=," while the vertex equation is written in the form "y=." The standard form is sometimes referred to as the derivative form, while the vertex form is sometimes referred to as the line form. Change a standard equation to a vertex equation with minimal algebra skills.

Instructions

    • 1

      Write the standard form on a paper. For example, the equation might be f(x)= x^2 +4x + 2.

    • 2

      Factor the equation. Find the square root of the equation. For example, x^2 + 4x + 4 factors to (x + 2)^2.

    • 3

      Note the constants of the equation. This equation is currently y= 1(x+ 2)^2 + 0. The form is expressed as y= a(x-h)^2 + k. In this equation the k, or constant, is 0.

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