Complete the square to rewrite y = x^2 – 6x + 14 in vertex form. then state whether the vertex is a maximum or minimum and give its coordinates.

Vertex is minimum.

Coordinate is (3,5)

Step-by-step explanation:

Given :  

To find : Complete the square to rewrite in vertex form. Then state whether the vertex is a maximum or minimum and give its coordinates.

Solution :

The general vertex form is

where (h,k) is the vertex of the function

Converting into vertex form by completing the square,

This is the vertex form where a=1, (h,k)=(3,5)

If a>0 then vertex is minimum

If a<0 then vertex is maximum.

In our case, 1>0 then vertex is minimum.

Coordinates is (3,5).

just take the area of the square and then the area of the circle then subtract the circle area from the squares area

step-by-step explanation: