Question

Which of the following correctly identifies the transformations undergone from f(x)=|x|
to f(−x)+6=|−x|+6
?(1 point)

reflected across the x-axis and translated up vertically

reflected across the x-axis and translated down vertically

reflected across the y-axis and translated up vertically

reflected across the y-axis and translated down vertically

Answer 1

Reflected across the y-axis and translated up vertically.

Reason: f(-x) is the reflection across the y-axis, and +6 translates the graph up 6 units. (Note: |−x| = |x|, so the reflection does not change the absolute‑value graph.)