According to the Horizontally translating, the graph of y = 3√x - 3 is the graph of y = 3√x shifted 3 units downward.
According to the statement
we have to find that the by how much shifting in the graph the given changes take place in the statement.
So, For this purpose, we know that the
Horizontally translating a graph is equivalent to shifting the base graph left or right in the direction of the x-axis
Translating a function horizontally is adding up a constant value.
For example g(x) = f(x) + a means that g(x) is the function f(x) translated a units horizontally.
If a is positive the graph is shifted a units upward, if a is negative the graph is shifted a units downward.
Then, the graph of y = 3√x - 3 is the graph of y = 3√x shifted 3 units downward.
So, According to the Horizontally translating, the graph of y = 3√x - 3 is the graph of y = 3√x shifted 3 units downward.
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