g is related to one of the parent functions Describe the sequence of transformations from f to g. g(x) = 1/2|x - 2| - 3

Jason Farmer

Jason Farmer

Answered question

2021-06-21

g is related to one of the parent functions Describe the sequence of transformations from f to g.

g(x)=12|x2|3

Answer & Explanation

nitruraviX

nitruraviX

Skilled2021-06-22Added 101 answers

We are starting with the parent function f(x)=|x|
STEP 1:

Vertically compress the graph by a factor of 12, to get y=12|x|
STEP 2:

Shift the graph by 2 units to the right, to get y=12|x2|
STEP 3:

Shift the graph by 3 units downwards, to get y=12|x2|3, which is the required function g(x)

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