math definition

Question

 

Is this an example of  y = a(x - h)^2 + k   for a coordinate of the vertex

Answer 1

 Yes , it is

 

   Coordinate of vertex is ( h, k)

 

    for a> 0  . quadratic is a parabola that opens upward and Vertex is at minimum point.

 

    for a< 0 , Parabola opens downward and vertex is at Maximum.

Answer 2

y = a(x - h)^2 + k  is the Vertex Form of a Quadratic Equation,

 

which graphs as a Parabola with Vertex, (h,k). If a > 0 the parabola opens upward.