Sept. 18 Class

Learning Goals: Understand how to combine multiple transformations and express them in function notation.

Today we discussed how multiple trasformations can be performed on any function.

The transformation of the function

f(x)

can be expressed as,

a f[k(x – d)] + c

|a| > 1, vertical stretch

|a| < 1, vertical compression

|k| > 1, horizontal compression by 1/|k|

|k| < 1, horizontal stretch by 1/|k|

-a , reflection in the x-axis (vertical)

-k , reflection in the y-axis (horizontal)

d > 0, horizontal translation to the right

d < 0, horizontal translation to the left

c > 0, vertical translation up

c < 0, vertical translation down

Order of Transformations: SRT

Make sure that you always do the transformations in the following order.

• Stretches first
• Reflections next
• Translations last

We then worked on this handout: Writing Transformations with Function Notation

Homework

P. 58 #1-8,10-12

Handout: Transformation of Basic Functions