Hey there!
Let's assume that [tex]g[/tex] of [tex]x[/tex] [tex]([/tex] [tex]g(x)[/tex] [tex])[/tex] is a y-intercept)
So, now this whole problem can now be a little bit easier to solve
[tex]y =[/tex] [tex]|x|[/tex] [tex]-5[/tex] most of the numbers we have so far are in the [tex]y-axis[/tex] and with negatives (on the left) , so we could eliminate option [tex]A[/tex] because the numbers on the [tex]right[/tex] side of the graph would be all positive numbers. Negatives are going downward and facing all the negatives. So, we could eliminate [tex]B[/tex] as one of the animals as incorrect.
The result is going upward for the y-intercept so this seems like option [tex]C[/tex] would most likely be your outcome (answer)
Good luck on your assignment and enjoy your day!
~[tex]LoveYourselfFirst:)[/tex]