Describe the transformation of f ( x ) = sin ⁡ x f(x)=sinx to g ( x ) = sin ⁡ ( x − π 4 ) g(x)=sin(x− 4 π ​ ). A. f(x) is shifted π 4 4 π ​ units down. B. f(x) is shifted π 4 4 π ​ units up. C. f(x) is shifted π 4 4 π ​ units to the right. D. f(x) is shifted π 4 4 π ​ units to the left.



Answer :

Answer:

C. f(x)f(x) is shifted π44π​ units to the right.

Step-by-step explanation:

To transform f(x)=sin⁡xf(x)=sinx to g(x)=sin⁡(x−π4)g(x)=sin(x−4π​), we observe that the transformation involves shifting the function horizontally to the right by π44π​ units.

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