IB Mathematics AA HL Flashcards- Transformations of graphs

y = f(x) + b → you are adding b to every y-coordinate
y = f(x – a) → you take the y-coord. from the original x that is a to the left
y = p f(x) → you multiply every y-coordinate by p
y = f(qx) → you take the y-coord. from the ‘qx’ value of x
y = -f(x) → you change the sign of every y-coordinate
y = f(-x) → you take the y-coord. from the ‘-x’ value of x

[q]

RULES // These correspond to the following rules:

y = f(x) + b → Shift up by ‘b’ units | TRANSLATIONS
y = f(x – a) → Shift right by ‘a’ units
y = p f(x) → Stretch vertically by scale factor ‘p’ | STRETCHES
y = f(qx) → Stretch horizontally by S.F. ‘1/q’
y = -f(x) → Reflect in the x-axis | REFLECTIONS
y = f(-x) → Reflect in the y-axis

[a]

ORDER // The order of transformations is significant. They essentially follow
the order of operations: A f (Bx) + D would mean you do B, then A, then D.

[x] Exit text