Question

Choose the transformations for the function as it compares to the parent function.

f(x) = –(x – 4)3 + 8

Answer 1

Compared to the parent function y = x^3:

- Horizontal shift right 4 units (from (x − 4)^3).
- Reflection across the x-axis (the leading negative sign).
- Vertical shift up 8 units (+8).
- No vertical/horizontal stretch (scale factor 1).

Order of operations on y = x^3: shift right 4 → cube → reflect across the x-axis → shift up 8.