Brainlag Plusy = f(x) + a moves a graph up or down, y = f(x + a) moves it left or right. Points, turning points, equations and vectors.
Outside the bracket: up and down
y = f(x) + a adds a to every y value.
The graph moves up a (down if a is negative): a translation by the vector with top 0 and bottom a.
- y = f(x) has a minimum point at (2, −5)
- y = f(x) + 3 has its minimum point at (2, −2)
The rest of this lesson and its 7 practice questions are in Plus.
Screen 1 of 4, free to read.
- 7 exam-style questions, marked as you go, each with a worked solution
- The Graph transformations simulation beside every question
- Anything you get wrong is saved to your flashcards