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The vertex is
Explanation:
The equation is
To find the vertex, we need the equation in the form of
Dividing each term by 2 in the equation
Now, completing the square by adding and subtracting 1, we get,
The first three terms can be written as ,
Multiplying 2 into the bracket, we get,
This equation is of the form
Now, we shall find the vertex
Thus, and
Thus, the vertex is