The equation which represents the function graphed on the coordinate plane given is,
![|x+4|-10](https://tex.z-dn.net/?f=%7Cx%2B4%7C-10)
Thus, option B is the correct option.
Given-
The general form of the equation is,
![y=a|x-h|+k](https://tex.z-dn.net/?f=y%3Da%7Cx-h%7C%2Bk)
Let's compare it with the graph given. The graph opens upward with a slope of 1. Hence the value of
is 1.
![y=|x-h|+k](https://tex.z-dn.net/?f=y%3D%7Cx-h%7C%2Bk)
The vertex of the graph is shifted -4 to the right. Thus the value of the
is -4.
![y=|x-(-4)|+k](https://tex.z-dn.net/?f=y%3D%7Cx-%28-4%29%7C%2Bk)
![y=|x+4|+k](https://tex.z-dn.net/?f=y%3D%7Cx%2B4%7C%2Bk)
The graph is 10 down from the origin and hence, the value of k is -10.
![y=|x+4|-10](https://tex.z-dn.net/?f=y%3D%7Cx%2B4%7C-10)
Hence, The equation which represents the function graphed on the coordinate plane given is,
![|x+4|-10](https://tex.z-dn.net/?f=%7Cx%2B4%7C-10)
Thus, option B is the correct option.
For more about the coordinate plane, follow the link below-
brainly.com/question/13611766