Absolute Value Graphs

Which function defines the graph?

• f(x) = |x - 4| + 3

• f(x) = |x - 3| + 4

• f(x) = |-x + 4| + 3

• f(x) = |x + 4| + 3

Tags

CCSS.HSF-IF.C.7D

What is the vertex of the absolute value function?

• (4, 0)
• (0, 4)
• (-infinity, infinity)
• [4, infinity)

Tags

CCSS.HSF-IF.C.7D

Determine the transformation 

• left 3, up 2
• right 3, up 2
• left 3, down 2
• right 3, down 2

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

What is the y-intercept?

• 7
• 0
• 1
• 2

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSS.ID.C.7

What is the vertex of the following function?
y=2|x-3|+1

• (2,3)
• (-3,1)
• (2,-3)
• (3,1)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Use Narrow, wide, or same to compare the width of this graph to the parent function.
y=4|x+3|-2

• Narrow
• Wide
• Same

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

What is the equation of this graph?

• y=2|x-3|+1

• y=2|x-1|+3

• y=-2|x+1|+3

• y=-2|x-1|+3

Tags

CCSS.HSF-IF.C.7D

Describe the transformation of the equation below from the parent function of y = I x I
y = -2 I x - 3 I + 3

• 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, commpress by 2, right 3, up 3
• reflected over the x axis, commpress by 2, left 3, up 3

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

What is the range of the function?

• all real numbers

• 3 ≤ y

• -4 ≤ y

• 3 ≤ y ≤ 7

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the reason that absolute value is always written as a positive?

• Absolute value is talking about numbers so it must be positive.
• Absolute value does not always have to be positive.
• Absolute value is like a clock it has only positive numbers.
• Absolute value is talking about distance, distance is always measured by positive numbers.