Question

Im in algebra II honors and right now we are working on parabolas and quadratic equations. Can someone help me understand how to convert from standard form to vertex form? Also how to do the opposite so convert from vertex form to standard form?

Answer 1

f (x) = a(x - h)2 + k, where (h, k) is the vertex of the parabola. FYI: Different textbooks have different interpretations of the reference "standard form" of a quadratic function.

The standard form of a parabola is y=ax2++bx+c , where a≠0 . The vertex is the minimum or maximum point of a parabola. If a>0 , the vertex is the minimum point and the parabola opens upward. If a<0 , the vertex is the maximum point and the parabola opens downward.