Write equation or Describe Transformation

Write the effect on the graph of the parent function

2( ) 1g x x down 1 unit1

2

3

( ) 2 1f x x

31( ) 5 43

h x x

Stretch by a factor of 2right 1 unit

Compressed by a factor of left 5unitsup 4 units

1

3

Write the effect on the graph of the parent function

3( ) xg x Reflection over x-axis4left 3 units

5

6

15

4( )

xg x

16

4( ) xg x

Reflection over x-axisleft 4 unitsUp 5 units

Compressed by a factor of Down 6 units

1

4

Write the equation for the following

2( )g x xStart with

1

2

Shift 2 units right and 4 units up

Reflect over x-axis, compress by factor of shift down 3 units

2

3

2( ) 2 4h x x

22( ) 3

3f x x

Write the equation for the following

1( )g x

xStart with

1

2

Shift 3 units left and 2 units down

Reflect over x-axis, shift up 3 units

1

( ) 23

h xx

1( ) 3f x

x

Write the equation for the following

( )g x xStart with

1

2

Reflect over x-axis, Stretch by factor of 3Move right 2 unitsShift down 4 units

shift up 3 units

( ) 3 2 4h x x

( ) 3f x x

Write an equation from the given graph. Identify the Domain and Range.

2( ) 1 2g x x

1 domain

range

2y

All real numbers

Write an equation from the given graph. Identify the Domain and Range.

( ) 3xf x

2 domain

range

3y

0x

Write an equation from the given graph. Identify the Domain and Range.

3( ) xf x

3 domain

range

0y

3x