The function of the graph shown is option A. g(x) = -(x-6) ^2.
What is a function?
The function is a type of relation, or rule, that maps one input to specific single output.
We have been given a graph of a function, we need to find the function g(x).
So, we can see that the graph is intersecting the x-axis at ( 6, 0), then the function which satisfies the coordinate will be the function of g(x).
A. g(x) = -(x-6) ^2
put x = 6
g(x) = -(6-6) ^2
g(x) = - (0)
LHS = RHS
Thus, The function of the graph shown is option A. g(x) = -(x-6) ^2.
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