f(x) = I x + 2 I 

f(x) = I x + 2 I +2

f(x) = I x - 2 I +2

f(x) = I x - 2 I 

reflected over x axis, stretched by 2, right 3, up 3

reflected over x axis, stretched by 2, left 3 up 3.

reflected over x axis, shrunk by 2, right 3, up 3

reflected over the x axis, shrunk by 2, left 3, up 3

f(x)= 4|x+3|

f(x)= 1/4 |x+3|

f(x)= 1/4 |x - 3|

f(x)= 4|x - 3|

Left 2 up 5

Right 2 up 5

Left 2 down 5

Right 2 down 5

(-infinity, infinity)

[3, infinity)

[0, infinity)

(-infinity, 3]

All points for x > 0 are reflected over the x axis

All points for x > 0 are reflected over the y axis

All points for x < 0 are reflected over the x axis

All points for x < 0 are reflected over the y axis

y = |x| + 7

y = |x - 7|

y = -|x| + 7

y = |x| - 7

It is shifted down 1 unit

It is reflected over the x axis

It is shifted left 1 unit

It is vertically stretched by a factor of 2

{-5, 3}

(-5, 3)

[-5, 3]

1

( -5, 3 )

[-5, 3]

{x | -5  $\le$  x  $\le$  3}

{-5, 3}