Over what interval is the graph of y= f(x+2) decreasing?

Question

Suppose that the function y= f(x) is decreasing on the interval (−2, 7).                Over what interval is the graph of y= f(x+2) decreasing? Explain

Answer 1

The graph of y = f(x+2) is the same as the graph of y = f(x) translated 2 units to the left.

So, since the graph of y = f(x) is decreasing on (-2,7), the graph of y = f(x+2) will be decreasing on (-4, 5).