Answers Mathematics II Nonlinear Functions — TestQuestion 10

10

QuizMultiple Choice

Nonlinear Functions — Test

Question 10 • Mathematics II

Which graph represents the function p times x is equal to start absolute value x minus 1 end absolute value ?

Answer

A

Image with description On a coordinate plane, an absolute value graph has a vertex at (negative 1, 0).

B

Image with description On a coordinate plane, an absolute value graph has a vertex at (0, negative 1).

C

Image with description On a coordinate plane, an absolute value graph has a vertex at (0, 1).

D

Image with description On a coordinate plane, an absolute value graph has a vertex at (1, 0).

Explanation

The function is p(x) = |x − 1|. The graph of |x| has its vertex at (0, 0), and subtracting 1 inside the absolute value shifts the graph 1 unit to the right. Therefore, the vertex is (1, 0), matching choice D.

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