Functions (linear)

Given y = | x + 21 | , the parent y = | x | is moved

• left

• right

• up

• down

What is the transformation for the function: y = 3|x| ?

• horizontally stretched

• vertically compressed

• up 3 units

• vertically stretched

What transformations does this equation make?
 $y=\left|x-1\right|+4$  

• right 1, up 4

• left 1, up 4

• left 1, down 4

• right 1, down 4

Which of the following is the graph of f(x) = −|x+4|

• A

• B

• C

• D

Given y = | x - 7 | + 3, the parent y = | x | is moved

• left and up

• left and down

• right and up

• right and down

• Down 1

• Up 1

• Right 1

• Left 1

Tell how the function transformed from y =|x|
y = -2|x|

• Translated left 2 units
• Reflected over x-axis
• Stretched vertically and reflected over x-axis
• Compressed vertically and reflected over the x-axis

Use Narrower, Wider, or Same to compare the width of this graph to its parent function.

y = 5/2 |x - 1|+ 2

• Narrower

• Wider

• Same

• left
• 5
• down
• 7
• right
• up
• -5
• -7

If the original function is f(x) = |x + 3| then state the transformation that takes f(x) to g(x) = 2|x + 3|

• Vertical Stretch by a factor of 2

• Right 3

• Vertical Shrink by a factor of 2

• Horizontal Stretch by a factor of 2