Determine the vertex and the axis of symmetry for the function below: y = -x^2 + 2x + 1

Hello : 
 y = -x^2 + 2x + 1
y= -(x²-2x+1-1)+1
y = -(x-1)² +2
the vertex is : ( 1, 2)
 axis of symmetry is the line of equation : x= 1

Answerthe simplified expression isexplanationthe given expression is,let us deal with the bracket first.the two negatives in the parenthesis will become positive.the expression now becomes,we now expand the parenthesis to get,we group like terms to obtain,this simplifies to,