Transformations of Functions

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Presentation transcript:

Transformations of Functions 8-10-16

Transformations of Functions 8-10-16

Transformations of Functions 8-10-16 Translations (shifts up/down left/right)

Transformations of Functions 8-10-16 f(x) = x3 + 5

Transformations of Functions 8-10-16 f(x) = (x+ 3)3

Transformations of Functions 8-10-16 f(x) = (x - 2)3 - 6

Transformations of Functions 8-10-16 Reflections f(x) = x + 1 f(x) = -(x + 1) f(x) = (-x) + 1

Transformations of Functions 8-10-16 Stretch (Compressions) f(x) = sin x f(x) = 2 sin x f(x) = sin 2x

Transformations of Functions 8-10-16 Problem Set Old books: pg 86-87 #1, 3-5, 8, 10 Homework Old books: pg 87-88 #14, 15, 18