Question

Let f(x) = |x|, where x can be any real number. Write a formula for the function whose graph is the

Answer 1

Answer:

$g(x)=\mid x\mid -3$

Step-by-step explanation:

We are given that a function

$f(x)=\mid x\mid$ 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

$(x,y)\rightarrow (x,y-3)$

Suppose $y=f(x)$

After translation 3 units down then the value of y

$y-3=f(x)-3$

Let $g(x)=y-3=\mid x\mid -3$

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

$g(x)=\mid x\mid -3$