Practice Flashcards
What does y = f(x) + b do to the graph?
Track your progress — Sign up free to save your progress and get smart review reminders based on spaced repetition.
All Flashcards in Topic 2.8
Below are all 8 flashcards for this topic. Sign up free to track your progress and get personalized review schedules.
2.8.18 cards
What does y = f(x) + b do to the graph?
Translates it UP by b (b outside f changes the height; negative b moves it down).
What does y = f(x − a) do, and why the sign?
Translates RIGHT by a. The input must be a units larger to reproduce an old height, so features move to bigger x.
What does y = p·f(x) do?
Vertical stretch by factor p (every height ×p). Points on the x-axis don't move.
What does y = f(qx) do?
Horizontal stretch by factor 1/q (width scaled by the reciprocal). q > 1 squashes toward the y-axis.
What does y = −f(x) do?
Reflects the graph in the x-axis (heights flip sign).
What does y = f(−x) do?
Reflects the graph in the y-axis (left↔right).
Under g(x) = p f(x − a) + b, where does a point (x, y) go?
To (x + a, p·y + b): inside shifts x, outside scales then shifts y.
If f has horizontal asymptote y = 0, what is the asymptote of f(x) + 5?
y = 5 — the outside +5 lifts the whole graph, asymptote included.
Topic 2.8 study notes
Full notes & explanations for Graph transformations (HL only)
Math AI exam skills
Paper structures, command terms & tips
Want smart review reminders?
Sign up free to track your progress. Our spaced repetition algorithm will tell you exactly which cards to review and when.
Start Free