the shape of f(x) = x , but shifted three units down and then reflected in both the x-axis and the y-axis

Answer 1

f(x) =x

shifted down 3

f(x) = x-3

reflect over the x axis switches y with -y

f(x) is y

-y = x-3

y = -x+3

then reflect over the y axis, switching x and -x

to get

y = x +3

or

f(x) = x+3