Parent Function Transformations

• Quadratic

• Exponential

• Cubic

• Square root

Tags

CCSS.HSF.LE.A.1

• Linear

• Cubic

• Square root

• Quadratic

Tags

CCSS.HSF.BF.B.3

Which equation is a cubic function reflected across the x -axis, shifted right 2 units and down 4 units?

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

• Exponential vertically stretched by a factor of 4 and shifted right 6 units

• Exponential shifted right 6 units and up 4 units

• Exponential vertically compressed by a factor of 4 and shifted right 6 units

• Quadratic vertically stretched by a factor of 4 and shifted right 6 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSF.LE.B.5

Write an equation for the functions shown in the graph

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which parent function is graphed heer?

• Exponential

• Linear

• Quadratic

• Absolute Value

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

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

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Describe the transformation from the parent graph

• Reflect over x, right 3, down 4

• Reflect over y, right 3, down 4

• Reflect over x, right 3, up 4

• Reflect over y, left 3, down 4

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

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.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Describe the transformations from the original parent function f(x) = x².
g(x) = 5x² + 2

• Vertical Stretch of 5
  Down 2
• Vertical Shrink of 5
  Up 2
• Vertical Stretch of 5
  Up 2
• Vertical Shrink of 5
  Down 2

Tags

CCSS.HSF.BF.B.3