Question

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

Answer 1

Given transformation is f(x+5) which is similar to f(x+h).

f(x+h) shifts the graph "h" units to the left side.

so that means f(x+5) will shift the graph "5" units to the left side.

Left or right movement is done using x-coordinate only so -3 will change in (-3,7)

-3+5=2

so the new coordinate of the point will be (2,7)

Hence final answer is (2,7).