Question

Periodic Function Flexibility Quick Check
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Question
How do you write an equation as a sine function with four parameters—A, B, C, and D?(1 point)
Responses

y=Asin(B(x−C)+D)
y equals upper A sine left parenthesis upper B left parenthesis x minus upper C right parenthesis plus upper D right parenthesis

y=Asin(Bx−C)+D
y equals upper A sine left parenthesis upper B x minus upper C right parenthesis plus upper D

y=Bsin[A(x−C)]+D
y equals upper B sine left bracket upper A left parenthesis x minus upper C right parenthesis right bracket plus upper D

y=Asin[B(x−C)]+D
y equals upper A sine left bracket upper B left parenthesis x minus upper C right parenthesis right bracket plus upper D
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Answer 1

The correct way to write an equation as a sine function with four parameters—A, B, C, and D—is:

**y = A * sin(B(x − C)) + D**

So the best response from the options you provided is:

**y=Asin[B(x−C)]+D**

This format includes all four parameters correctly:
- A is the amplitude,
- B affects the period,
- C is the horizontal shift,
- D is the vertical shift.