If f(x) = |x| and g(x) = |x| − 4, which transformation is Applied to f(x) to get g(x)?
We will be using the formula of transformations to solve this.
Answer: If f(x) = |x| and g(x) = |x| − 4, then the Transformations from f(x) to g(x) is down 4.
Let's solve this step by step.
Given that, f(x) = |x| and g(x) = |x| − 4
We have the general formula of transformations as f(x) = a(bx − h)n + k
Here, k is the vertical shift, h is the horizontal shift, a is the vertical stretch, and b is the horizontal stretch.
On comparing g(x), we get k = -4
⇒ As you can observe from the graph above, we are shifting 4 down.