Question

Write an equation for a translation 1 unit down and 5 units right of y=|x|.
(y=[blank])

Answer 1

Hence the corresponding equation of the given problem will be:

y'=|x-5|-1

Explanation:

Let y' denote the corresponding equation after the translation of the given function y

We are given a equation of a function as: y=|x|.

Now we have to write an equation such that there is a translation 1 unit down and 5 units right of y=|x|.

We know that for any function f(x) the translation 'a' units down is given by:

f(x)-a

And the translation 'b' units right of a function g(x) is given by:

g(x-b)

Hence the corresponding equation of the given problem will be:

y'=|x-5|-1