Transformations

Let the graph of g be a translation 2 units down and 4 units left of the graph of f(x) = x². Write a rule for g.

• g(x) = (x - 4)² - 2

• g(x) = (x + 4)² - 2

• g(x) = (x - 4)² + 2

• g(x) = (x + 4)² + 2

Tags

CCSS.HSF.BF.B.3

For g(x) = (x - 10)² - 4, describe the transformation from the parent function.

• Slide left 10 and down 4 units

• Slide right 10 and down 4 units

• Slide left 10 and up 4 units

• Slide right 10 and up 4 units

Tags

CCSS.HSF.BF.B.3

Which transformation maps the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

• a reflection across the line x = -4
• a reflection across the line y = -4
• a translation shifting f(x) 4 units to the left
• a translation shifting f(x) 4 units to the right

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

Match the description to its equation.
Moves up 2
Moves left 4

• A
• B
• C
• D

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

Match the description to its equation.
Moves right 7

• A
• B
• C
• D

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

Match the description to its equation.
- moves down 3

• A
• B
• C
• D

Tags

CCSS.HSF.BF.B.3

Match the description to its equation.
Moves down 1
Moves right 1

• A
• B
• C
• D

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.BF.B.3

Which transformation will occur if f(x) = x² is replaced with f(x) + 2?

• Nothing happens, it stays the same.
• Vertical stretch by a factor of 2.
• Vertical translation up by 2 units.
• Reflection across the x-axis.

Tags

CCSS.HSF.BF.B.3

Describe the transformation of y = (x - 4)²

• Shift UP
• Shift DOWN
• Shift LEFT
• Shift RIGHT

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Which transformation transforms the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

• a vertical translation 4 units up
• a vertical translation 4 units down
• a horizontal translation 4 units to the left
• a horizontal translation 4 units to the right