What is the axis of symmetry for the function, f(x) = −2(x − 4)2 + 2 ?

Step-by-step explanation:

We have the function:

This is a quadratic in vertex form:

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.