The parent function is
y = | x |
Therefore, the transformations that applied to the above that lead to y = 2 | x | + 1 will be described.
Now vertically stretching the parent function by a factor of 2 gives
y = 2 | x |
then shifting the function 1 unit upwards gives
y = 2 | x | + 1
Hence, the set transformations that lead to y = 2 | x | + 1 are vertical stretch by a 2 factor of 2 and vertical shift 1 unit up.