Математика18 мин
Transformations
How translation, reflection, stretch, and rotation act on graphs $y = f(x)$.
01
Shifts
| Transformation | Effect |
|---|---|
| shift up by | |
| shift down by | |
| shift right by | |
| shift left by |
Inside the bracket, signs are reversed: shifts **right** 3, not left.
02
Reflections and stretches
| Form | Effect |
|---|---|
| reflect across x-axis | |
| reflect across y-axis | |
| () | vertical stretch by |
| () | horizontal compression by |
Жаттығу
Describe relative to .
Жауап пен түсініктемені көру
Жауап: Shift left 1, vertical stretch by 2, reflect across x-axis.
Inside-out order: bracket first ( left 1), then scale (), then sign flip.