Using translation concepts, it is found that the new intercepts are given as follows:
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.
In this problem, the function was shifted one unit right, hence the rule for the translated function is given by:
(x,y) -> (x + 1, y).
The y-intercept is given by f(0), hence for the shifted function it will be f(-1). We have that f(x) is an odd function and f(1) = 3, hence f(-1) = -f(1) = -3.
The x-intercept is given by x when f(x) = 0, hence:
(0,0) -> (0 + 1, 0) = (1,0).
More can be learned about translation concepts at https://brainly.com/question/4521517
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