Question

AM i RIGHT ? Which ordered pair is the vertex of y=|x+5|-1 open ?
My answer was up

Answer 1

Taking just the plain function, \(\normalsize\color{blue}{ y=|x| }\)
Some shifts of it:

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

For example,

\(\normalsize\color{blue}{ y=|x+f|-r ~~~~~~~~~~~\rm{f~~~units~~~left~~~and~~~r~~~units ~~~down}}\)

Answer 2

so my answer will be down ? @SolomonZelman

Answer 3

well, you are adding +5 inside the absolute value, and -1 outside of the absolute value.

There are 2 shifts, can you determine what they are ?

Answer 4

itlll be left right ?