Question

Consider the function g where function f is the parent sine function.
g(x) =f(x-pi/3)
How will the graph of function g differ from the graph of function f?​

Answer 1

Answer: The answer is C: The graph of function g is the graph of function f shifted π/3 units to the right.

Step-by-step explanation:

Answer 2

The graph of g(x) is equal to the graph of f(x) translated pi/3 units to the right.

How will the graph of function g differ from the graph of function f?​

Remember that for a function f(x), we define a horizontal translation as:

g(x) = f(x + N).

• If N > 0, then the translation is to the right.
• If N < 0, then the translation is to the left.

In this case, we have

g(x) = f(x - pi/3).

So we can say that the graph of g(x) is equal to the graph of f(x) translated pi/3 units to the right, that is the difference between the two graphs.

If you want to learn more about translations, you can read:

https://brainly.com/question/24850937

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