Question

16 points PLZ HELP which equation represents the function graphed on the coordinate plane

Answer 1

It’s the second one. The one that is g(x) = |x + 3| — 1

Answer 2

The correct option is C)
`g(x)=|x-1|+3`.

Explanation:

Consider the provided graph:

The Parent Function for the provided graph is
`|x|`.

The graph of
`|x|` is shifted 3 unit up and 1 unit right to the origin.

For a function
`g(x)=f(x)+k` the function
`f(x)` shift k units up.

For the function
`g(x)=f(x-h)` the function
`f(x)` shift h units right.

As we know the graph has been shifted shifted 3 unit up and 1 unit right to the origin.

Therefore, the required equation is:

`g(x)=|x-1|+3`

Hence, the correct option is C)
`g(x)=|x-1|+3`.