Write the equation of the graph which is the reflection of y=-|x-1|-1 about the origin

f (x) = |x + 1| + 1

Step-by-step explanation:

A reflection over the y-axis followed by a reflection over x-axis is equivalent to a reflection about origin.

f (x) = - |x-1| - 1

reflection over the x-axis:

-f (x) = (-1) * (-|x-1| - 1) = |x-1| + 1

reflection over the y-axis of the previous function:

-f (-x) = |-x-1| + 1 = |x + 1| + 1

which is the reflection of f (x) about the origin