Precalculus — Functions
Transformations
continues from lesson 2 — values defined earlier in the course stay live here
Every graph manipulation is arithmetic on the formula:
- f(x) + k slides UP by k
- f(x − h) slides RIGHT by h (the minus sign fools everyone once)
- a·f(x) stretches vertically
The plot below is f shifted right 2 and up 5 — edit the numbers in the expression and watch it move:
f(x − 2) + 5 — the same parabola, relocated