5
QuizMultiple Choice

Absolute Value Functions and Translations — Quiz

Question 5 • Mathematics II

Which graph represents the function r of x is equal to start absolute value x minus 2 end absolute value minus 1 ?

Answer
A
Image with description On a coordinate plane, an absolute value graph has a vertex at (2, negative 1).
B
Image without description
C
Image with description On a coordinate plane, an absolute value graph has a vertex at (negative 1, negative 2).
D
Image with description On a coordinate plane, an absolute value graph has a vertex at (1, negative 2).

Explanation

The parent function y = |x| has its vertex at (0, 0). In r(x) = |x - 2| - 1, the graph shifts 2 units right and 1 unit down, so its vertex is (2, -1). Choice A has that vertex.

AI-written and checked against the verified answer.

Previous
Next