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Horizontal Shift of a Function

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Which of the following statements correctly describes a function transformed by a horizontal shift to the right?

A

The function g(x)=3∗∣x∣g(x)=3*|x| represents a vertical dilation by a factor of 3, not a horizontal shift.

B

The function g(x)=∣x+3∣g(x)=|x+3| represents a horizontal shift to the left by 3 units.

C

The function g(x)=∣x−3∣g(x)=|x-3| represents a horizontal shift to the right by 3 units from the parent function f(x)=∣x∣f(x)=|x|.

D

The function g(x)=∣x∣+3g(x)=|x|+3 represents a vertical shift upward by 3 units.

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