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Sagot :
The functions are illustrations of function transformations
The transformation from f(x) to g(x) is reflecting across the y-axis, and then shifting 2 units up
How to determine the transformations
The equation of the function is given as:
[tex]g(x) = 2 - x[/tex]
The parent function of the above equation is:
[tex]f(x) = x[/tex]
First, the function f(x) is reflected across the y-axis to give
[tex]f(-x) = -x[/tex]
Next, the function is shifted 2 units up.
So, we have:
[tex]f(-x) + 2 = -x + 2[/tex]
Rewrite as:
[tex]f(-x) + 2 = 2-x[/tex]
Express f(-x) + 2 as g(x).
So, we have:
[tex]g(x) = 2-x[/tex]
Hence, the transformation from f(x) to g(x) is reflecting across the y-axis, and then shifting 2 units up
Read more about function transformation at:
https://brainly.com/question/1548871
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