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# If f(x) = |x| and g(x) = |x| - 4, which transformation is applied to f(x) to get g(x)?

**Solution:**

Given: Functions are 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

**From the graph we can observe that we are shifting 4 down**

**Therefore, the transformation applied is translation and is down by 4**.

## If f(x) = |x| and g(x) = |x| - 4, which transformation is applied to f(x) to get g(x)?

**Summary:**

If f(x) = |x| and g(x) = |x| - 4, the transformation applied to f(x) to get g(x) is translation and is down by 4.

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