Answer
vertex
Work Step by Step
Parabolas are conic sections that are obtained by slicing cones. If the equation of the parabola is of the form, $y=a{{\left( x-h \right)}^{2}}+k$ or $x=a{{\left( y-k \right)}^{2}}+h$, then the vertex of the parabola is $\left( h,k \right)$.
A vertex of the parabola is the lowest or highest point and it is the point where the direction of the parabola changes.
The correct option for the blank is “vertex”.