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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