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Answer :
The equation which represents the function graphed on the coordinate plane given is,
[tex]|x+4|-10[/tex]
Thus, option B is the correct option.
Given-
The general form of the equation is,
[tex]y=a|x-h|+k[/tex]
Let's compare it with the graph given. The graph opens upward with a slope of 1. Hence the value of [tex]a[/tex] is 1.
[tex]y=|x-h|+k[/tex]
The vertex of the graph is shifted -4 to the right. Thus the value of the [tex]h[/tex] is -4.
[tex]y=|x-(-4)|+k[/tex]
[tex]y=|x+4|+k[/tex]
The graph is 10 down from the origin and hence, the value of k is -10.
[tex]y=|x+4|-10[/tex]
Hence, The equation which represents the function graphed on the coordinate plane given is,
[tex]|x+4|-10[/tex]
Thus, option B is the correct option.
For more about the coordinate plane, follow the link below-
https://brainly.com/question/13611766
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