Transformations

Question 1

order to look at transformations

Answer 1

1) dilations
2) reflections
3) tralslations

Question 2

dilations

Answer 2

stretches and compressions in vertical (y) and horizontal (x) directions

LOOK AT Y=F(X)

vertical (y) –> y=Kf(x)

Hotizontal (x)–> y=f(kx)
in horizontal k becomes 1/k

Question 3

Reflections

Answer 3

In x axis
y= -f(x)
graph gets flipped upside down

In y axis
y=f(-x)
graph gets flipped left/ right

Question 4

translations

Answer 4

Translation vertically (y)
(upward or downward)
y=f(x)+K
if K is positive -> graph shifts up
if K is negative - > graph shifts down

Translation horizontally (x)
(left or right)
y=f(x+k)
if K is positive -> graph moves to the left by k units
if K is negative graph moves to the right by k units

Question 5

summarise

Answer 5

Transformations of Function Graphs

-f (x)

reflect f (x) over the x-axis

f (-x)

reflect f (x) over the y-axis

f (x) + k

shift f (x) up k units

f (x) - k

shift f (x) down k units

f (x + k)

shift f (x) left k units

f (x - k)

shift f (x) right k units

k*f (x)

multiply y-values by k

f (kx)

divide x-values by k