SOLUTION: Find the coordinates of the vertexfor the parabola defined by the given quadraric funtion. f(x)= -x^2-2x+1

SOLUTION: Find the coordinates of the vertexfor the parabola defined by the given quadraric funtion. f(x)= -x^2-2x+1

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Question 358372: Find the coordinates of the vertexfor the parabola defined by the given quadraric funtion. f(x)= -x^2-2x+1
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
The vertex is half way between the 2 roots

Set

Using the quadratic formula:

and

is half way between these 2 roots
Actually, this equals and

Now plug into equation:

The vertex is at (-1,2)
Here's a plot:

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