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Nikitich [7]
1 year ago
14

The graphs of g(x) has only one x-intercept and is an odd function. The points (0,0), (1,3), and (3,1) are on the graphs of g(x)

. If g(x) is translated one unit right, what are the new intercepts. EXPLAIN WHY THE ANSWER IS WHAT IT IS.
Mathematics
1 answer:
Eddi Din [679]1 year ago
6 0

Using translation concepts, it is found that the new intercepts are given as follows:

  • x-intercept: (1, 0).
  • y-intercept: (0, -3).

<h3>What is a translation?</h3>

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 brainly.com/question/4521517

#SPJ1

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