Answer:
[tex]x=4[/tex]
Step-by-step explanation:
We have the function:
[tex]f(x)=-2(x-4)^2+2[/tex]
This is a quadratic in vertex form:
[tex]f(x)=a(x-h)^2+k[/tex]
Where (h, k) is the vertex.
So, according to the equation, h=4 and k=2.
Hence, our vertex is at (4, 2).
Remember that the axis of symmetry is the vertical line that passes through the x-coordinate of the vertex.
Hence, our axis of symmetry is x=4.
