Graph Transformations SUPER IMPORTANT

Does order matter for transformations that are in different directions?

No

What is the order for af(x)+b

stretch by a then translation by b

what is the order for f(ax+b)?

translation by b then stretch by a

How to write stretch by a then translation by b in X DIRECTION

f(ax + ab)

How to write translation by b then stretch by a in Y DIRECTION I THINK!!!

a(f(x)+b)

what happens if you stretch just the x in the bracket?

you are applying the stretch secondly to the translation.

what is f(ax + b) ( I THINK!)

translation by b and stretch by a or stretch by a and translation by b/a

How to do you apply a horizontal translation to a function that is already factorised

bracket x and apply inside the bracket.

What do you apply each transformation to going forward

bracket (x) and always apply to just the x

When changing f(ax+b) = h(x) back to f(x) what do you apply each transformation to?

In h(x) same as normal, to the x only but that means that (ax+b) in f(x) because f’s (ax+b) is h’s x

what to be very wary of when considering horizontal transformations?

if x is in a bracket in the function remember that this isn’t THE x bracket