Question

which of the following is the value of a when the function f(x) = 3|x| is written in the standard form of an absolute value function?

Explanation:

Step1: Recall absolute value standard form

The standard form of an absolute value function is \( f(x) = a|x - h| + k \), where \( (h,k) \) is the vertex. For \( f(x)=3|x| \), we can rewrite it as \( f(x) = 3|x - 0| + 0 \).

Step2: Identify the value of \( a \)

Comparing \( f(x) = 3|x - 0| + 0 \) with \( f(x) = a|x - h| + k \), we see that \( a = 3 \).

Answer:

3 (corresponding to the option with value 3, e.g., if the option is D. 3, then the answer is D. 3)