2
QuizMultiple Choice

Absolute Value Functions and Translations — Quiz

Question 2 • Mathematics II

What is the vertex of the graph of f of x is equal to start absolute value x plus 5 end absolute value minus 6 ?

Answer
A
negative 6 comma negative 5
B
negative 6 comma 5
C
5 comma negative 6
D
negative 5 comma negative 6

Explanation

The parent graph y = |x| has its vertex at (0, 0). In f(x) = |x + 5| - 6, the graph shifts 5 units left and 6 units down, so the vertex is (-5, -6), choice D.

AI-written and checked against the verified answer.

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