Transformation involves changing the form of a function. The function that represents is C;
The function is a type of relation, or rule, that maps one input to specific single output.
Function f(x) is given byy;
f(x) is reflected across the x-axis.
The rule of this transformation (i.e. reflection) is:
(x, y) ⇒ (x, - y)
So,
This gives
Now, f'(x) is translated 1 unit left
The rule of this transformation (i.e. translation) is:
(x, y) ⇒ (x+ 1, y)
So,
g(x) = f'(x+ 1)
This gives
Hence, the function that represents g(x) is (c)
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