Question

Which equation represents the function graphed on the coordinate plane? g(x) = |x â€"" 4| â€"" 10 g(x) = |x 4| â€"" 10 g(x) = |x â€"" 10| 4 g(x) = |x 10| â€"" 4.

Answer 1

The equation which represents the function graphed on the coordinate plane given is,

$|x+4|-10$

Thus, option B is the correct option.

Given-

The general form of the equation is,

$y=a|x-h|+k$

Let's compare it with the graph given. The graph opens upward with a slope of 1. Hence the value of $a$ is 1.

$y=|x-h|+k$

The vertex of the graph is shifted -4 to the right. Thus the value of the $h$ is -4.

$y=|x-(-4)|+k$

$y=|x+4|+k$

The graph is 10 down from the origin and hence, the value of k is -10.

$y=|x+4|-10$

Hence, The equation which represents the function graphed on the coordinate plane given is,

$|x+4|-10$

Thus, option B is the correct option.

For more about the coordinate plane, follow the link below-

https://brainly.com/question/13611766