Set 4 Transformations

Question 1

Dilation of factor a from the x axis, in function notation

Answer 1

a*f(x)

Question 2

Dilation of factor a from the y axis, in function notation

Answer 2

f(x/a)

Question 3

Reflection in the x axis, in function notation

Answer 3

-f(x)

Question 4

Reflection in the y axis, in function notation

Answer 4

f(-x)

Question 5

Translation of h units in the positive direction of the x axis, in function notation

Answer 5

f(x-h)

Question 6

Translation of k units in the positive direction of the y axis, in function notation

Answer 6

f(x)+k

Question 7

Answer 7

[a,b]

dilation from the x axis does not change the domain

Question 8

Answer 8

[ma,mb]

Dilation from the y axis of factor “m” - multiplies the x values by m

Question 9

Answer 9

[a/k , b/k]

Dilation from the y axis of factor 1/k. Multiplies x values by 1/k

Question 10

Answer 10

[a+h , b+h]

Translation of h units in + x direction. +h to all x values

Question 11

Answer 11

[a,b]

Translation of k units in + y direction. Change y doesn’t change domain