To create: A function from the given graph by using transformations.
The function of the shown graph is .
The equation of the given graph is .
Notice that the given graph is a semi-circle with the domain [0, 3] and the range [0, 1.5].
Also, it is observed from the given graph that the graph is shifted 4 units to the left and shifted 1 unit downward.
Moreover, the graph is reflected about the origin.
Thus, add 4 to x as it shifted 4 units to the left; subtract 1fromf(x)as it shifted 1 unit downward and then multiply f(x) by −1 as the graph reflects about x-axis.
Therefore, the given function will change as .
Thus, the function of the shown graph is .
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