What is the axis of symmetry for the function f (x) = -2x^2+4x+1 is the line x=1 where is the vertex of the function located?

Step-by-step explanation:

hello:

f (x) = -2x²+4x+1 Completing The Square : f (x) = 2 (x²+2x) + 1

f (x) = - 2 ((x²-2x+1) - 1) + 1

f (x) = - 2 ((x-1) ²-1) + 1

f (x) = 2 (x-1) ²+1 ... verex form when the vertex is (1,1)

the axis of symmetry is x=1