4
QuizMultiple Choice

Absolute Value Functions — Quiz

Question 4 • Algebraic Reasoning

Which function has a vertex at open paren 2 comma 6 close paren ?

Answer
A
f of x is equal to 2 start absolute value x minus 2 end absolute value minus 6
B
f of x is equal to 2 start absolute value x plus 2 end absolute value minus 6
C
f of x is equal to 2 start absolute value x plus 2 end absolute value plus 6
D
f of x is equal to 2 start absolute value x minus 2 end absolute value plus 6

Explanation

An absolute-value function in vertex form is f(x) = a|x − h| + k, and its vertex is (h, k). For a vertex of (2, 6), the function must use |x − 2| and add 6. Choice A, f(x) = 2|x − 2| + 6, has that form.

AI-written and checked against the verified answer.

Previous
Next