Question

Graph the Function y=|×-5|-4

Answer 1

Please don't leave, it will take a while for me to explain this.

Answer 2

Considering the function \(\normalsize\color{blue}{ y=│x│ }\)
The shifts are the following,

\(\normalsize\color{blue}{ y=│x-v│ ~~~~~~~~~~~~~\rm{ v~~~~units~~~~right} }\)
\(\normalsize\color{blue}{ y=│x+v│ ~~~~~~~~~~~~~\rm{ v~~~~units~~~~left} }\)
\(\normalsize\color{blue}{ y=│x│+v ~~~~~~~~~~~~~\rm{ v~~~~units~~~~up} }\)
\(\normalsize\color{blue}{ y=│x│-v~~~~~~~~~~~~~\rm{ v~~~~units~~~~down} }\)

Answer 3

You have 2 shifts,

\(\normalsize\color{blue}{ y=│x\color{red}{ -5 }│\color{red}{ -4 }~~~~~~~~~~~~~\rm{ 5~~~~units~~~~right,~~~~and~~~~4~~~units~~~down.} }\)

Answer 4

something like this as he explained 5 units right and 4 down of the |x| graph