Математика18 мин

Transformations

How translation, reflection, stretch, and rotation act on graphs $y = f(x)$.

Shifts

Inside the bracket, signs are reversed: $f(x-3)$ shifts **right** 3, not left.

Жаттығу

Describe $y = -2f(x + 1)$ relative to $y = f(x)$ .

Жауап пен түсініктемені көру

Жауап: Shift left 1, vertical stretch by 2, reflect across x-axis.

Inside-out order: bracket first ( $x+1 \Rightarrow$ left 1), then scale ( $\times 2$ ), then sign flip.