21
QuizMultiple Choice

Absolute Value Functions — Quiz

Question 21 • Algebraic Reasoning

What is the vertex of f of x is equal to start absolute value x plus 8 end absolute value minus 3 ?

Answer
A
open paren negative 8 comma negative 3 close paren
B
open paren 8 comma negative 3 close paren
C
open paren 8 comma 3 close paren
D
open paren negative 8 comma 3 close paren

Explanation

The parent function y = |x| has its vertex at (0, 0). In f(x) = |x + 8| - 3, the +8 shifts the graph 8 units left, and the -3 shifts it 3 units down, so the vertex is (-8, -3), choice C.

AI-written and checked against the verified answer.

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