# 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)

Determine the transformations of the function f(x) to get the function $g\left(x\right)=1/2f\left(5\left(x-3\right)\right)-12$ (The transformations happen in c, b, a, d order)
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Latisha Oneil
Given:
A function f(x) is transformed to get a function g(x).
$=>g\left(x\right)=1/2f\left(5\left(x-3\right)\right)-12$
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