KrishawnG448610 KrishawnG448610
  • 25-10-2022
  • Mathematics
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Which of the sketches presented in the list of options is a reasonable graph of y = |x − 1|?

Which of the sketches presented in the list of options is a reasonable graph of y x 1 class=
Which of the sketches presented in the list of options is a reasonable graph of y x 1 class=

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AtaQ91926 AtaQ91926
  • 25-10-2022

ANSWER

EXPLANATION

The parent function is y = |x|. The vertex of this function is at the origin.

When we add/subtract a constant from the variable, x, we have a horizontal translation, so the answer must be one of the first two options.

Since the constant is being subtracted from the variable, the translation is to the right. Hence, the graph of the function is the one with the vertex at (1, 0).

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