Question

Suppose
and its transformed function is
.
Which transformation was performed on
?


translation to the right

reflection across the
-axis

rotation around the origin

reflection across the
-axis

Answer 1

I don't see the original and transformed functions in your message — they were left blank. Can you paste them? For example, tell me something like "original: f(x) = x^2, transformed: g(x) = (x-3)^2" or upload a picture.

Meanwhile, here are quick rules so you can identify the transformation yourself:

- g(x) = f(x − h) → translation (shift) to the right by h.
- g(x) = f(x + h) → translation (shift) to the left by h.
- g(x) = −f(x) → reflection across the x-axis.
- g(x) = f(−x) → reflection across the y-axis.
- "Rotation around the origin" is not a standard single-variable function transformation (rotating a graph by a non-180° angle usually destroys the function property), so if you see a rotation it’s typically not one of these basic function translations/reflections.

If you post the two expressions I’ll pick the correct option.