Question

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?

Answer 1

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