Question

If f(x)=2x Write g(x) (the equation) if g(x) is f(x) translated 2 units down and then reflected over the x-axis.

Answer 1

F(x) = 2x ⇒ g(x) = -f(x) - 2 = -2x - 2

⇒ g(x) = -2 × (x + 1)