Question

1.
A linear function is transformed from
to
.
Which transformation was performed?


translation to the left

rotation around the origin

reflection across the y
-axis

reflection across the x
-axis

Answer 1

I can't see the two function expressions — could you paste the original and the transformed linear functions?

Meanwhile, here are the quick checks you can use to identify which transformation occurred:

- Translation left by a: new f(x) = old f(x + a)
- Translation right by a: new f(x) = old f(x − a)
- Translation up by b: new f(x) = old f(x) + b
- Translation down by b: new f(x) = old f(x) − b
- Reflection across the y-axis: new f(x) = old f(−x)
- Reflection across the x-axis: new f(x) = −old f(x)
- Rotation 180° about the origin (point reflection): new f(x) = −old f(−x)

If you post the two explicit equations, I’ll tell you which option is correct and show the substitution that proves it.