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

1 Answer
Mar 18, 2018

Answer:

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]}