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).

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step-by-step explanation:

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step-by-step explanation: