Step-by-step explanation:
the transformation is moving the graph 1 unit down and 1 unit to the right.
to move the function 1 unit down, we need to subtract 1 from every result of the original function.
so, x² - 1
and to move the function to the right. to achieve that we need to make sure that the functional value at x is now the same as it was at x-1 in the original function.
so,
g(x) = (x-1)² - 1 = x² - 2x + 1 - 1 = x² - 2x
