Answered

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Question 6(Multiple Choice Worth 1 points)
(02.05 MC)
If the parent function f(x) = [x] is transformed to g(x) = |x-31, what transformation occurs from f(x) to g(x)?
O The graph of f(x) is shifted upward to create g(x).
O The graph of f(x) is shifted downward to create g(x).
O The graph of f(x) is shifted to the right to create g(x).
O The graph of f(x) is shifted to the left to create g(x).

Sagot :

Using translation concepts, the correct option is given as follows:

The graph of f(x) is shifted to the right to create g(x).

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.

For this problem, the functions are given as follows:

  • f(x) = |x|.
  • g(x) = |x - 31|.

That is, g(x) = f(x - 31), hence the function was shifted 31 units to the right and the correct option is given by:

The graph of f(x) is shifted to the right to create g(x).

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

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