18
QuizMultiple Choice

Absolute Value Functions

Question 18 • Common Core Algebra II - MA3111 B-IC

Which function has a vertex at (2, 6)?

Answer
A
f(x) = 2|x – 2| – 6
B
f(x) = 2|x – 2| + 6
C
f(x) = 2|x + 2| + 6
D
f(x) = 2|x + 2| – 6

Explanation

An absolute-value function in the form f(x) = a|x − h| + k has its vertex at (h, k). For f(x) = 2|x − 2| + 6, h = 2 and k = 6, so its vertex is (2, 6). Therefore, the correct choice is B, f(x) = 2|x − 2| + 6.

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