Question

g is related to one of the parent functions. Describe the sequence of transformations from f to g. g(x) = -2|x - 1| - 4

Transformations of functions
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asked 2021-05-13
g is related to one of the parent functions. Describe the sequence of transformations from f to g. g(x) = -2|x - 1| - 4

Answers (1)

2021-05-14
We are starting with the parent function f(x)=|x|
STEP 1: Vertically stretch the graph by a factor of 2, to get y=2|x|
STEP 2: Reflect the graph across x-axis, to get y=-2|x|
STEP 3: Shift the graph by 1 unit to the right, to get y=-2|x-1|
STEP 4: Shift the graph by 4 units downwards, to get y=-2|x-1|-4, which is the required function g(x)
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