SOLUTION: I have to write each function in vertex form, and identity it's vertex. g(x)=x^2-1/2x+1 could you please guide me on the step by step process on how to work this. please h

Question 162179: I have to write each function in vertex form, and identity it's vertex.
g(x)=x^2-1/2x+1
could you please guide me on the step by step process on how to work this.
please help soon!
thx :)
Found 2 solutions by jim_thompson5910, Earlsdon:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression.

Take half of the coefficient to get . In other words, .

Now square to get . In other words,

Now add and subtract . Make sure to place this after the "x" term. Notice how . So the expression is not changed.

Group the first three terms.

Factor to get .

Combine like terms.

So after completing the square, transforms to . So .

So is equivalent to .

Notice how is in vertex form where the vertex is (h,k)

Since and , this means that the vertex is
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Write in vertex form: :
You can convert to the vertex form of the equation by "completing the square"
Set this function equal to zero.
Subtract 1 from both sides.
Add the square of half the x-coefficient to both sides, that's )
Factor the trinomial on the left side.
Add to both sides.
Compare with the standard vertex form:
The vertex is located at (h, k), so, and
The vertex in your equation is located at: (,)
Check the graph of the equation:

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