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What is the vertical shift of g? g(x) = -4sin(2x - π) +3

A) Upward shift of 3 units
B) Downward shift of 3 units
C) Upward shift of 4 units
D) Downward shift of 4 units

1 Answer

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Final answer:

The vertical shift of the function g(x) is Upward shift of 3 units.

Step-by-step explanation:

The equation for the function g(x) = -4sin(2x - π) + 3 represents a sinusoidal function. The coefficient in front of the sine function, -4, represents the amplitude of the function. The π in the argument of the sine function represents a horizontal shift. Since the coefficient in front of x is 2, the period of the function is π/2. There is no vertical shift, as the constant term +3 represents the vertical position of the midline of the function.

Therefore, the correct answer is A) Upward shift of 3 units.

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