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

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Answer 1 · 2018-03-18T01:37:09

See below

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]}

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