The function that represents the dotted line of the graph using transformation rules is; f(x - 1) - 4.
<h3>How to Interpret Translation of Graphs?</h3>For the function f(x) of the given graph, when we look at the solid line, we see that it has a root at x = -1 which means it has a zero at x = -1.
However, when observing the dashed line, we see that it has a root at x = 0 which means it has a zero at x = 0.
Thus, we can deduce from transformation rules that the function was moved by 1 unit to the right to get the new function.
Secondly, we observe that the dashed line is also below the function f(x), and we observe further that 4 was subtracted. Therefore, when we use the transformation rules again for subtracting from a function, we get the final function as; f(x - 1) - 4.
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