It is the graph of f(x) = x^2 vertically compressed, and then translated 3 units up and 5 units to the right.
Transformation is a process of changing the size and shape of an object. The given graph is a graph of quadratic function with parent function x².
According to the graph shown the resulting parent function has been shifted horizontally to the right by 5 units to produce g(x) = f(x) - 5
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