Question

The function f(x) = sqrt x is translated using the rule (x, y) → (x – 6, y + 9) to create A(x).

Which expression describes the range of A(x)?

y > –9
y > –6
y > 6
y > 9

Answer 1

f(x)=√x has range y ≥ 0. The translation adds 9 to all y-values, so the new range is y ≥ 9. (Among the given choices, pick y > 9.)