Transformation of Functions- Part 1

Question 1

compression and stretch of y=af(x)

Answer 1

Compression: fractions
Stretch: whole number

Question 2

Rules of y=af(x)

Answer 2

a vertrical compression/strech by a fcator of
vertical relfection across the x-axis

Question 3

compression and stretch of y=f(kx)

Answer 3

Compression: whole numbers
Stretch: fractions

Question 4

Rules of y=f(kx)

Answer 4

horizontal stretch/compression by a factor of (1/lkl)
You need to change the formula so it fits the y=af(x) com and stretch
horizontal reflection across y-axis

Question 5

Rules of f(x-d)

Answer 5

a horizontal translation d units to teh right/left

Question 6

Rules of f(x) +c

Answer 6

vertical translation c units up/dowm

Question 7

Equation of transformations

Answer 7

af[k(x-d)] + c

a- vertical strech. compression/ relfect in x

k- horizontal stretch, compression/ relfect in y

d- horizontal translation left or right

c- vertical tranlation up or fown

Question 8

mapping rule

Answer 8

(1/kx + d, ay +c)

Question 9

greater than and less than sign

Answer 9

greater than >
less than <

Question 10

order of transformations

Answer 10

reflection in x-axis
vertical stretch/compress
relefction in y-axis
horizontal stretch/compress
HT
VT

Question 11

determinting function using mapping diagram

Answer 11

if one x-value (x=1) has 2 y values (y=2, 3) then it is not a function
If 2 x values share 1 y value, it is a function