Given that (-3,7) is on the graph of f(x), find the corresponding point for the function f(x+5)

The point (-3, 5) lies on the graph of f(x).

f(x + 5) indicates a horizontal shift. Addition of a number to x indicates a shift towards left. The vertical component is not affected in this case.

So, (-3, 5) will be moved 5 units to left on the graph of f(x + 5). (-3, 5) will become (-8, 5) when moved 5 units to left.

So, (-8, 5) will be on the graph of f(x + 5)