g is related to one of the parent functions described in Section 1.6. Describe the sequence of transformations from f to g. g(x) = -1/4 (x + 2)^2 - 2

hexacordoK

hexacordoK

Answered question

2021-05-18

g is related to one of the parent functions described in Section 1.6. Describe the sequence of transformations from f to g. g(x)=1/4(x+2)22

Answer & Explanation

escumantsu

escumantsu

Skilled2021-05-19Added 98 answers

We are starting with the parent function f(x)=x2
STEP 1: Vertically compress the graph by a factor of 14, to get y=(14)x2
STEP 2: Reflect the graph across x-axis, to get y=(14)x2
STEP 3: Shift the graph by 2 units to the left, to get y=(14)(x+2)2
STEP 4: Shift the graph by 2 units downwards, to get y=(14)((x+2)2)2 which is the required function g(x)

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