Answer :

The general form of an absolute function is [tex]g(x)=a|x-h|+k[/tex] where [tex](h,k)[/tex] is the turning point. The equation of the function is: [tex]g(x) = |x +10| -4[/tex]

First, write out the turning point on the graph.

The turning point is:

[tex](h,k) = (-4,-10)[/tex]

The equation of an absolute function is:

[tex]g(x) = |x - k| + h[/tex]

This gives:

[tex]g(x) = |x - -10| -4[/tex]

[tex]g(x) = |x +10| -4[/tex]

Hence, the equation which represents the function is: [tex]g(x) = |x +10| -4[/tex]

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Rewritten by : Batagu

Answer:

g(x)= |x+4| - 2

Step-by-step explanation:

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