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Let f(x) = |x|, where x can be any real number. Write a formula for the function whose graph is the
transformation of the graph of f given by the instructions below.
b. A translation down 3 units

Answer :

lublana

Answer:

[tex]g(x)=\mid x\mid -3[/tex]

Step-by-step explanation:

We are given that a function

[tex]f(x)=\mid x\mid[/tex] where x can be any real number.

We have to write the formula for the function whose graph is the transformation of the graph of f is given by  a translation down 3 units.

When a translation down 3 unit then the transformation rule is given by

[tex](x,y)\rightarrow (x,y-3)[/tex]

Suppose [tex]y=f(x)[/tex]

After translation 3 units down then the value of y

[tex]y-3=f(x)-3[/tex]

Let [tex]g(x)=y-3=\mid x\mid -3[/tex]

Therefore, the formula for the function whose graph is the transformation of the graph of f is given by

[tex]g(x)=\mid x\mid -3[/tex]

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