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Which equation represents the function graphed on the coordinate plane?

g(x) = |x – 4| – 10

g(x) = |x + 4| – 10

g(x) = |x – 10| + 4

g(x) = |x + 10| – 4

Which equation represents the function graphed on the coordinate plane g x x 4 10 g x x 4 10 g x x 10 4

Answer :

The equation that represents this graph is g(x) = | x + 4 | - 10.

What is an absolute value function?

We know the absolute value function of the modulus function always outputs a positive value irrespective of the sign of the input.

In piecewise terms | x | = x for x ≥ 0 and | x | = - x for x < 0.

We know the graph of the modulus function y = | x |.

By observing the graph we can conclude that the graph has been shifted along the x-axis by 4 to the left.

∴ y = | x + 4 |.

The graph has also shifted down 10 units along the x-axis.

∴ y = | x + 4 | - 10 is the equation that represents this graph.

learn more about graphs here :

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Answer:

Step-by-step explanation:

The answer is B

g(x)=|x+4|-10