Answer the questions below about the quadratic function.

g(x)= -x^2 -2x +1

a.) does the function have a minimum or maximum value? (answer would be just min or max)

b.) where does the minimum or maximum value occur?

c.) what is the functions minimum or maximum value?

Thank you for the opportunity to help you with your question!

Since the coefficient of x² is negative (-1)

1. The function has a maximum value.

2. Completing the square gives f (x) = - (x + 1)² + 2

So maximum value occurs when x + 1 = 0, that is when x = -1

3. the maximum value of the fuction is f (-1) = 0 + 2 = 2

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