Answer:
Explanation:
To transform the function f(x) = |x| into a stretched or compressed function, we can multiply the absolute value function by a constant. Let's consider two scenarios: a stretch and a compression.
Stretch:
To stretch the function horizontally, we multiply the absolute value function by a constant greater than 1. Let's say we stretch it by a factor of 4. The equation for the stretched function, g(x), would be:
g(x) = 4 * |x|
Compression:
To compress the function horizontally, we multiply the absolute value function by a constant between 0 and 1. Let's say we compress it by a factor of 1/2. The equation for the compressed function, g(x), would be:
g(x) = (1/2) * |x|
Now, let's analyze the given values: 4, -2, 16, 12, 8, g, 4, X, 4, O.
Based on the given values, it appears that we have a composition of functions. The values 4, -2, 16, 12, and 8 might represent inputs or outputs of the original function f(x) = |x|. The letter "g" could represent the transformed function, either stretched or compressed. The values 4, X, 4, and O are unclear and do not provide sufficient information to determine their meaning in relation to the functions.