Answer:
Step-by-step explanation:
Given
Represent f(x) as follows:
Transformations:
Horizontally shifted right by a
Reflected across x axis
Vertically shifted down by b
Taking the transformations one after the other.
Horizontally shifted right by a
When a function is shifted right, the resulting function is:
Reflected across x axis
Here, the x axis remains unaltered while the y axis is negated
becomes
Vertically shifted down by b
When a function is shifted down by b, the resulting function is:
i.e, subtract b from the function (f(x) or y, as the case may be)
So, we have:
Represent f"' with g(x)