Step-by-step explanation:
to move 5 units to the right g(x) = f(x-5) to create results for x that would have been created with f(x) 5 units before (to the left).
and to move it up 1 unit we need to add 1 to the function result.
so,
g(x) = f(x-5) + 1 = (x-5)² + 1 = x² - 10x + 25 + 1 = x² - 10x + 26
so, the 4th answer option is correct.
