Functions and transformation

Question

The graph of f (x) = |x| is reflected across the x-axis, moved 2 units to the right and 7 down. What is the function?

Answer 1

Reflect in x-axis: y = - lxl

Then translate 2 units to the right: y = - l x - 2 l

Then translate 7 units downward: y = - l x - 2 l - 7