The transformation of f(x) to g(x) is f(x) is shifted down 2 units to g(x).
The correct option is (A)
What if transformation of a function?
Transformations of functions mean transforming the function from one form to another. Transformation of functions is a unique way of changing the formula of a function minimally and playing around with the graph.
The given function f(x)= sin x
In the graph there is vertical shift from f(x) to g(x)
We know, the vertical shift depends on the value of k
When k>0, the vertical shift is described as
- g(x)=f(x)+k- The graph is shifted up k units.
- g(x)=f(x)−k - The graph is shifted down k units.
If we closely look at the graph the vertical distance in negative y-axis,
the distance between line f(x) and g(x) is from 0 to -2.
So, there is shifting of -2 units means there is downward shifting.
i.e., k=2
Hence, f(x) is shifted down 2 units to g(x).
Learn more about transformation of function here:
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