The functions f (x) = - (x + 4) 2 + 2 and g (x) = (x - 2) 2 - 2 have been rewritten using the completing-the-square method. Is the vertex for each function a minimum or a maximum? Explain your reasoning for each function.

The vertex form of a quadratic function:

(h, k) - the coordinates of the vertex

If a>0, then the parabola opens upwards, so the vertex is the minimum of the function.

If a<0, then the parabola opens downwards, so the vertex is the maximum of the function.

F (x) = (x+4) ^2+2

A = - 1 <0

Vertex is a maximum

G (x) = (x-2) ^2-2

A = 1>0

Vertex is a minimum