Determine the transformations of the function f(x) to get the function g(x) =1/2f(5(x−3))−12 (The transformations happen in c, b, a, d order)

Question
Performing transformations
asked 2020-11-08
Determine the transformations of the function f(x) to get the function \(g(x) =1/2f(5(x−3))−12\) (The transformations happen in c, b, a, d order)

Answers (1)

2020-11-09
Given:
A function f(x) is transformed to get a function g(x).
\(=>g(x)=1/2f(5(x-3))-12\)
sequence of the transformations to transform f(x) into g(x) is given by:
\(=>\) Vertical compression by a scale factor of \(1/2\)
\(=>\) Horizontal compression by a scale factor of 5
\(=>\) Horizontal translation of 3 units to the right
\(=>\) Vertical translation of 12 units down
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