Maths - Graph Transformations Flashcards
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
