Answered

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Choose the letter of the equation for
the graph.
a. y = sin x + 2
b.y = cos x + 2
c. y = cos(x - 1)
d. y = sin(x - 1)
e. y = sin(x + "/2)

Choose The Letter Of The Equation For The Graph A Y Sin X 2 By Cos X 2 C Y Cosx 1 D Y Sinx 1 E Y Sinx 2 class=

Sagot :

Using translation concepts, it is found that the equation represented on the graph is of:

d. [tex]y = \sin{(x - \pi)}[/tex]

What is a translation?

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

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