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3 years ago

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

Mathematics

1 answer:

Ostrovityanka [42]3 years ago

6 0

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:

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

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