Question

write the particular equation of this transformed sine graph. assume that the horizontal shift is 1 unit to the right. (hint: try to find the best point to center the sinusoids axis).

Answer 1

Using translation concepts, the sine function shifted one unit to the right is given by:

y = sin(x - 1).

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

The parent sine function is given by:

y = sin(x).

When it is shifted one unit to the right, the transformation is x -> x - 1, hence the function is:

y = sin(x - 1).

More can be learned about translation concepts at https://brainly.com/question/4521517

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