Question

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

Answer 1

-2(x^2+15)

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)