Linear and absolute-value functions

What is the equation of the absolute value function?

• f(x)= |x + 4|

• f(x)= |x - 4|

• f(x)= |x| + 4

• f(x)= |x| - 4

Tags

CCSS.HSF-IF.C.7D

What is the equation of the graph below?

• 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 

Tags

CCSS.HSF-IF.C.7D

What is the equation of the graph below?

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

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.IF.A.1

What transformations do you need to get the graph of

y = I x + 2 I - 5 from the original function of y = IxI ?

• Left 2 up 5

• Right 2 up 5

• Left 2 down 5

• Right 2 down 5

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

What is the equation of the graph below?

• f(x ) = I x + 4 I + 2
• f(x ) = -I x - 4 I + 2
• f(x ) = I x - 4 I + 2
• f(x ) = -I x + 4 I + 2

Tags

CCSS.HSF-IF.C.7D

What is the equation of the graph below?

• f(x) = I x I -1
• f(x) = I x I +1
• f(x) = - I x I -1
• f(x) = -I x I +1

Tags

CCSS.HSF-IF.C.7D

Write an absolute value function given the following transformations:

Vertical Stretch of 2

Horizontal translation 1 unit left

Vertical translation 9 units down

• f(x) = |2x + 1| - 9

• f(x) = |2x - 1| - 9

• f(x) = 2|x + 1| - 9

• f(x) = 2|x - 1| - 9

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.IF.C.8

Write an absolute value function given the following transformations:

Reflection about the x-axis

Horizontal translation 2 units right

Vertical translation 7 units down

• y = -|x + 2| - 7

• y = |x - 2| - 7

• y = -|x - 2| - 7

• y = -|x - 2| + 7

Tags

CCSS.HSF.BF.B.3

What is the vertex of the following function?
y= -4|x+2|+5

• (-4,2)
• (-2,5)
• (-4,-2)
• (2,5)

Tags

CCSS.HSF-IF.C.7D

Which function is graphed?

• f(x) = -3|x - 1| + 4
• f(x) = -|x - 1| + 4
• f(x) = -5|x + 1| + 4
• f(x) = -3|x - 4| + 1

Tags

CCSS.HSF-IF.C.7D