Question

The function f(x) = is translated using the rule (x, y) → (x – 6, y 9) to create a(x). Which expression describes the range of a(x)?

1) y > –9
2) y > –6
3) y > 6
4) y > 9

Answer 1

The range of a(x) is y > 9.

Step-by-step explanation:

The given function f(x) = is translated using the rule (x, y) → (x – 6, y + 9) to create a(x). To determine the range of a(x), we need to find the possible values of y for the translated function. Since the translation is adding 9 to the y-coordinate, the range of a(x) will be greater than the range of f(x) by 9 units. Therefore, the correct expression that describes the range of a(x) is y > 9.