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Let f(x) = |x| for all real numbers x. Write the formula for the function represented by the described
transformation of the graph of y = f(x).
a. First, a vertical stretch with scale factor 1 / 3 is performed, then a translation right 3 units, and finally a translation
down 1 unit.

Respuesta :

Ondinne

Answer:

[tex]y=(\frac{1}{3}f(x-3))-1[/tex]

Step-by-step explanation:

Please see the picture below.

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

[tex]y=\frac{1}{3}f(x)[/tex]

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

[tex]y=\frac{1}{3}f(x-3)[/tex]

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

[tex]y=(\frac{1}{3}f(x-3))-1[/tex]

Ver imagen Ondinne

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