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)?

y > –9
y > –6
y > 6
y > 9

Answer 1

Explanation:

To find the range of the function A(x) after the translation, we need to consider the transformation rule (x, y) → (x – 6, y + 9). The range of A(x) will be affected by the y-coordinate transformation, which is adding 9 to the original y-coordinate.

Given the initial function f(x) = y, the range is all possible values of y.

Since the transformation adds 9 to the y-coordinate, it means the y-values of A(x) will be 9 units greater than the y-values of f(x).

Therefore, the expression that describes the range of A(x) is y > 9. This means that all y-values of A(x) are greater than 9.