Question

How do you graph `y = 2 | x - 1 | - 3`?

Answer 1

See below

Explanation:

Consider the standard graph of `f(x) =abs(x)` below.

graph{absx [-10, 10, -5, 5]}

Then the graph of `y=2abs(x-1)-3` is this graph after the following transformations

Shift 1 unit positive in `x` ("Right")
Scale by 2 units
Shift 3 units negative in `y` ("Down")

Shown below:

graph{2abs(x-1)-3 [-10, 10, -5, 5]}