Question

The graph of f(x)
is shifted π3
units left when compared to the graph of g(x)=sin
. What is the the equation of f(x)
?(1 point)
Responses

f(x)=sin(x+π3)
f of x is equal to sine of open paren x plus pi over 3 close paren

f(x)=sin(x−π3)
f of x is equal to sine of open paren x minus pi over 3 close paren

f(x)=sin(x)+π3
f of x is equal to sine of x plus pi over 3

f(x)=sin(x)−π3
f of x is equal to sine of x minus pi over 3
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Answer 1

f(x) = sin(x + π/3)

Reason: adding π/3 inside the argument shifts the graph left by π/3 (sin(x + c) shifts left by c).