Using translation concepts, it is found that the equation represented on the graph is of:
d. [tex]y = \sin{(x - \pi)}[/tex]
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, we have a trigonometric function, with amplitude of 1, hence there was no vertical translation, which removes options a and b.
The function is of zero at the origin, 1 at [tex]\frac{\pi}{2}[/tex] and -1 at [tex]\frac{\pi}{2}[/tex]. The sine function is of 0 at [tex]-\pi[/tex], of -1 at [tex]-\frac{\pi}{2}[/tex] and of 1 at [tex]-\frac{3\pi}{2}[/tex], hence option d is correct.
More can be learned about translation concepts at https://brainly.com/question/4521517
#SPJ1