Question

Let f(x) = |x| for all real numbers x. Write the formula for the function represented by the described

Answer 1

Answer:

$y=(\frac{1}{3}f(x-3))-1$

Step-by-step explanation:

Please see the picture below.

1. Given the function f(x) = |x|, applying a vertical stretch with scale factor $\frac{1}{3}$, we have the transformed function:

$y=\frac{1}{3}f(x)$

2. Applying a translation of 3 units to the right, we have:

$y=\frac{1}{3}f(x-3)$

3. Finally applying a translation down of 1 unit, we have:

$y=(\frac{1}{3}f(x-3))-1$