Sangeetha Pulapaka

STEP 1: Recall what is a parabola

STEP 2: Recall what is the vertex of a parabola

The vertex of a parabola is the point at the intersection of the parabola and its line of symmetry.


For a parabola whose equation is given in standard form  y = ax^{2} + bx + c

, the vertex will be the minimum (lowest point) of the graph if a>0

 and the maximum (highest point) of the graph if a<0

.STEP 3: Vertex form

The vertex form of a parabola is y = a(x-h)^{2} + kwhere (h,k)

 is the vertex. The variable a has the same value and function as the variable in the standard form. If a > 0 (positive) the parabola opens up,

and if  a < 0 (negative) the parabola opens down.

More on what is the vertex form of a parabola