Show all your work to find the axis of symmetry of f (x) = - 2 (x - 4) ^2 + 2.

-2 (x^2+15)

Step-by-step explanation:

f (x) = - 2 (x - 4) ^2 + 2.

Expanding (x-4) ^2

(x-4) (x+4)

x (x+4) - 4 (x+4)

x^2+4x-4x-16

x^2-16

F (x) = - 2 (x^2-16) + 2

-2x^2-32+2

-2x^2-30

-2 (x^2+15)