Transformations

Question 1

f(x) + a

Answer 1

Moves up or down ‘a’ units. Translation (0)
(+-a)

Question 2

f(x + a)

Answer 2

Moves left or right a units (positive is left, negative is right)

Question 3

kf(x)

Answer 3

Stretch in the y direction by stretch factor k, every y-coord is multiplied by k, x coords stay the same

Question 4

f(kx)

Answer 4

Stretch, x-direction, stretch factor 1/k

Question 5

-f(x)

Answer 5

reflection, x axis

Question 6

f(-x)

Answer 6

reflection y -axis

Question 7

What’s the domain?

Answer 7

The set of all possible inputs (X-VALUES)

Question 8

What’s the range?

Answer 8

The set of all possible outputs (y-values)

Question 9

When is something an inverse function?

Answer 9

When it is a one to one mapping

Question 10

What is the order of combined transformations?

Answer 10

1. Horizontal transformations
   (1) Translations
   (2) Stretches
   (3) Reflection
2. Vertical transformations
   (1) Translations
   (2) Stretches
   (3) Reflection