The transformation of the function f(x) = x is (x, y) → (x + 16, y). This transformation is said to be the translation rule and the translation is 16 units towards the right.
What is the translation rule of transformations?
The translation rule for a function f(x) is given by
(x, y) → (x + a, y + b)
Where a, and b are constant.
(x, y) → (x + a, y); translation towards right
(x, y) → (x - a, y); translation towards left
Calculation:
It is given that the function f(x) = x and g(x) = x - 16
So, the variation is
x - a = x - 16
⇒ - a = x - x - 16
∴ a = 16
Thus, the transformation is (x, y) → (x + 16, y)
Therefore, the transformation of the function f(x) = x is (x, y) → (x + 16, y) i.e., the translation of 16 units towards the right .
Learn more about the transformations here:
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