Answer:


Explanation:
Given

Solving (a): In vertex form
The vertex form of an equation is:

To do this, we make use of completing the square method.
We have:

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Take the coefficient of x (i.e. -6)
Divide by 2; -6/2 = -3
Square it: (-3)^2 = 9
Add and subtract the result to the equation
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Factorize



Factor out x - 3

Express as squares

Hence, the vertex form of
is:

Solving (b): State the coordinates of the vertex.
In
; the vertex is: (h,k)
The vertex of
will be
