Transformations of Functions (AQA A-Level Mathematics): Flashcards

📚Flashcards
Stretches
Sign up to keep revising.Create a free account to study more flashcards and track your progress.

Practise the cards

10 cards from this deck

Show

Formula for vertical stretch by factor aa

y=af(x)y = af(x)

Condition for vertical stretch (not compression)

a>1|a| > 1

Formula for horizontal stretch by factor bb

y=f(xb)y = f\left(\frac{x}{b}\right)

Condition for horizontal stretch (not compression)

b>1|b| > 1

Effect on points during vertical stretch (a>1|a| > 1)

Move further from x-axis

Effect on points during horizontal stretch (b>1|b| > 1)

Move away from y-axis

What do vertical stretches affect?

Output (y-values)

What do horizontal stretches affect?

Input (x-values)

Type of transformation: y=3sin(x)y = 3\sin(x)

Vertical stretch by factor 3

Type of transformation: y=sin(x2)y = \sin\left(\frac{x}{2}\right)

Horizontal stretch by factor 2

Join 100,000+ A-Level students studying Flashcards with us.

Select your subjects, and get access to A+ resources today.