1.1-1.2 Graph Transformations

Write an absolute value function given the following transformations:

Reflection across the x-axis

Horizontal shift right 2 units

Vertical shift down 7 units

• y = -|x + 2| - 7

• y = |x - 2| - 7

• y = -|x - 2| - 7

• y = -|x - 7| + 2

Write an absolute value function given the following transformations:
Vertical Stretch of 2
Horizontal shift left 1 unit
Vertical shift down 9 units

• 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.BF.B.3

CCSS.HSF.IF.C.7

Describe the transformation:

• f(x +3)
• f(x-3)
• f(x) - 3
• f(x) + 3 

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

What transformation occurred?

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

What are the following transformations?
g(x) = - f(x+2)

• reflection over the y axis and 2 units to the right
• reflection over the x axis and 2 units right
• reflection over the y axis and 2 units left
• reflection over the x axis and 2 units left

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

What are the following transformations:
g(x) = f(-x) - 4

• reflection over the x axis and 4 units right
• reflection over the x axis and 4 units down
• reflection over the y axis and 4 units right
• reflection over the y axis and 4 units down

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.4

Which of the following transformations are present?
-2f(x - 1) + 2

• reflection over the y axis
• reflection over the x axis
• shift left 1
• shift down 1

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Describe the parent graph transformation

• h. stretch, left 1, down 3
• h. shrink, right 1, down 3
• v. shrink, left 1, down 3
• v. stretch, right 1, down 3

Tags

CCSS.HSF.BF.B.3

Write the transformation for this graph

• y = Ix + 2I - 1

• y = -Ix + 2I - 1

• y = -Ix - 2I - 1

• y = -Ix + 1I - 2

What is the domain and range?

• D: All real #s, R: y $\le$ -1

• D: All real #s, R: y > 1

• D: x $\le$ -1, R: all real #s

• D: x > 1, R: all real #s