Answer:
f(x) is shifted pi/3 units to the right
Step-by-step explanation:
just did it
The function f(x) = sinx will be shift left side by π/3 units and becomes g(x) = sin(x + π/3) and period of the transformed function becomes 2π
It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a primary function:
f(x) = sinx and
The transformed function is:
[tex]\rm g(x) = sin(x+\frac{{\pi} }{3} )[/tex]
If we replace x to [tex]\rm x + \frac{\pi}{3}[/tex] it will shift to the left by π/3 units.
For a period of the transformed function is given by:
[tex]\rm T = \frac{2\pi}{n}[/tex]
Where n is used to find the period of the function.
n = 1
t = 2π
Thus, the function f(x) = sinx will be shift left side by π/3 units and becomes g(x) = sin(x + π/3) and period of the transformed function becomes 2π
Learn more about the function here:
brainly.com/question/5245372
