Graphing linear functions

y=|x+1|−4

• A
• B
• C
• y=D

The graph of f(x)=|x| is shifted up by 4 units and to the right by 5 units.

​ (a)   =|​ x ​ ​ (b)   ​ (c)   |​ (d)   ​ (e)  

• g(x)
• x
• -
• 5
• +
• 4
• f(x)
• -5
• -4

Which way is the absolute value graph shifted?

 $y\ =\ \left|x+5\right|$  

• Left 5

• Up 5

• Right 5

• Down 5

Which of the following shows a transformation:   Right 5?

•  $y=\left|x-5\right|$  

•  $y=5\left|x\right|$  

•  $y=\left|x\right|-5$  

•  $y=\left|x+5\right|$  

Graph the function. Compare the graph to the graph of f(x) = |x|.

• The graph of g is a horizontal translation 1 unit up of the graph of f.

• The graph of g is a vertical translation 1 unit up of the graph of f.

• The graph of g is a vertical stretch 1 unit up of the graph of f.

• The graph of g is a horizontal stretch1 unit up of the graph of f.

f(x)= |x−3|−1

• A
• B
• C
• D

What are the transformations from y =|x| to y = 3|x - 4|

• shift right 4 units, vert stretch by a factor of 3

• shift left 4 units, vert stretch by a factor of 3

• shift right 4 units, vert stretch by a factor of 1/3

• shift right 4 units, vert shift up 3

What is the value of K?

f(x) = 4|x +2| - 3

• 4

• 2

• -3

• 0

Describe the change represented by:

g(x) =  $\left|2x\right|$  

• Vertical Stretch by a factor of 2

• Horizontal Compression by a factor of 1/2