Suppose that the graph of is given $f$ is given. Describe how the graph of the function $y = f ( x - 5 ) - 5$ can be obtained from the graph of $f$.
A) Shift the graph 5 units to the left and 5 units down.
B) Shift the graph 5 units to the left and 5 units up.
C) Shift the graph 5 units to the right and 5 units up.
D) Shift the graph 5 units to the right and 5 units down.
E) None of these

Question

Quizplus · Accepted Answer

The graph of $y = f(x-5) -5$ is obtained by first shifting the graph of $f$ 5 units to the right since $x-5$ replaces $x$ as the input, and then shifting the resulting graph 5 units down since subtracting 5 replaces the $y$ values by decreasing them by 5. Therefore, the correct choice is (D) shift the graph 5 units to the right and 5 units down.

Suppose That the Graph of Is Given fff Is Given Describe How the Graph of the Function

Suppose That the Graph of Is Given $f$ Is Given Describe How the Graph of the Function