Transformations of Parent Functions

Which equation below is a quadratic function translated up 5 units?

• y = x² + 5
• y = (x + 5)²
• y = 5x²
• y = -x² - 5

Tags

CCSS.HSF.BF.B.3

Which equation below is a quadratic function translated left 4 units?

• y = x² + 4
• y = (x + 4)²
• y = (x - 4)²
• y = 4x²

Tags

CCSS.HSF.BF.B.3

Which equation is a quadratic function reflected over the x-axis and translated up 2 units.

• y = x² + 2

• y = -x² + 2

• y = x² - 2

• y = -(x + 2)²

Describe the transformation

• translation left 2 units and up 5 units

• translation right 2 units and up 5 units

• translation left 2 units and down 5 units

• translation right 2 units and down 5 units

Which equation is an absolute value graph translated right 5 units?

• y = |x - 5|

• y = |x + 5|

• y = |x| + 5

• y = -5|x|

Tell how the function transformed from y =|x|
y = -2|x|

• Translated left 2 units
• Reflected over x-axis
• Stretched vertically and reflected over x-axis
• Compressed vertically and reflected over the x-axis

Tags

CCSS.HSF.BF.B.3

• y = Ix + 2I - 1
• y = -Ix + 2I - 1
• y = -Ix - 2I - 1
• y = -Ix + 1I - 2

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.11

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Describe the transformation from the parent graph

• Reflect over x, translation right 3 units, translation down 4 units

• Reflect over y, translation right 3 units, translation down 4 units

• Reflect over x, translation right 3 units, translation up 4 units

• Reflect over y, translation left 3 units, translation down 4 units

Match the equation with the graph:

• y = (x - 2)² + 4

• y = -(x - 4)² + 2

• y = -(x - 2)² + 4

• y = -(x + 2)² + 4

Tags

CCSS.HSF-IF.C.7A

What shifts have occurred?

• translation left 1 unit and translation up 5 units

• translation left 1 units and translation 5 units down

• translation right 1 unit and translation down 5 units

• translation right 1 unit and translation up 5 units