How do you write #x=-|y+1|+4# as piecewise functions?
Since the equation in rotated due to have x and y switched, we will use y values as the constraints.
Find the vertex through knowledge of function transformations
Then, since the equation was rotated, find how far up and down the y-intercepts are:
Finally, write the piecewise function using the vertex to find the constraints and the y-intercepts to find the function that each section of the original will become.