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Verified Answer :

FALSE.

The effect of adding +3 to the argument of a function f(x) is to shift the original f(x) horizoantally 3 units to the left.

Answer: This is false.

Step-by-step explanation:

The general function equation is,

\(y=a\cdot \sin b(x+c)+d\)

where,

period is \(\dfrac{2\pi}{b}\),

horizontal shift or phase shift is c,

amplitude is a,

vertical shift is d.

The original equation of graph is, \(y=4\sin (x)-2\)

After shifting the equation of graph is, \(y=4\sin (x+3)-2\)

As per question, when we are adding 3 in original equation of graph then the graph shifted horizontally to the left by 3 units.