Flashcards in Maths - Graph Transformations Deck (5)

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1

Q

Stretches

A

af(x) means stretch by scale factor a in y direction/axis

f(ax) means stretch by scale factor 1/a in X direction

2

Q

Translations

A

f(X-a) means translation a units along the X axis

f(X)+a means translation a units along the y axis

3

Q

Combined transformations

A

If the transformations are in different directions the order doesn’t matter

If both in y axis - stretch first, translation second

If both in X axis - translation first, stretch second

4

Q

Reflection

A

f(-x) reflect in y axis

-f(x) reflect in x axis

5

Q

If the discriminant is less than zero are there any stationary points?

What about if the discriminant is greater than zero?

A

No real roots, no stationary points

2 real roots, 2 stationary points