Absolute Value Transformations

• Vertex: 3, -7

• Vertex: -3, 7

• Max = -7

• Min = 7

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

• Vertex: -1, -12

• Vertex: 1, -12

• Max = -12

• Min = -12

• Vertex: -1, -12

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Describe the transformation that is applied to the parent function.

f(x) = IxI -5

• Shifts left 5

• Shifts right 5

• Shifts up 5

• Shifts down 5

Tags

CCSS.HSF.BF.B.3

Choose the correct translated function.

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Choose the description of the transformation on f(x) that result in g(x):

g(x) = f(x) + 18

• Vertical transformation up 18

• Vertical transformation down 18

• Horizontal transformation left 18

• Horizontal transformation right 18

Answer explanation

The + 18 is OUTSIDE of the parenthesis; this indicates that it is a VERTICAL change. Because it is after the parenthesis, it will move up 18 units.

Tags

2a.6c

Choose the equation that best matches the graphed function.

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

• Left 4
• Right 4
• Up 4
• Down 4

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

• Horizontal translation 3 units left

• Horizontal translation 3 units right

• Vertical translation 3 units down

• Vertical translation 3 units up

Answer explanation

The + 3 is outside the absolute value bars, so that indicated a VERTICAL change. Because it is after the absolute value, it translates up 3 units.

Tags

2a.6c

What is the axis of symmetry for the function

f(x) = 4|x+2| - 5 ?

• x = -2

• x = 2

• x = 4

• x = -5

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

• Horizontal translation 45 units left

• Horizontal translation 45 units right

• Vertical translation 45 units down

• Vertical translation 45 units up

Answer explanation

The - 45 is inside the absolute value bars. Since it is after the x, it moves right 45 units.

REMEMBER: Anything horizontal is the opposite of what you might think.

Tags

2a.6c