Linear Transformations

Use the image to answer the question. What type of shift does the variable h represent?

• Horizontal

• Vertical

• Stretch

• Reflect

Use the image to answer the question. What type of shift does the variable k represent?

• Horizontal

• Vertical

• Stretch

• Reflect

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

• Horizontal shift 1 to the right.

  Vertical Shift 2 up

• Horizontal shift 1 to the left.

  Vertical Shift 2 down

• Horizontal shift 2 to the right.

  Vertical Shift 1 up

• Horizontal shift 2 to the left.

  Vertical Shift 2 down

Tags

CCSS.HSF.BF.B.3

What is the linear parent function?

• y = x

• y = mx + b

• f(x) = 2x

• Not here

Tags

CCSS.HSA.CED.A.2

CCSS.HSF.IF.C.7

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

The linear parent function, f(x) = x, is transformed to g(x)=f(x) - 6. Describe the transformation.

• g(x) is shifted up 6 units

• g(x) is shifted down 6 units

• g(x) is shifted left 6 units

• g(x) is shifted right 6 units

Tags

CCSS.HSF.IF.C.7

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

If the graph of the parent function f(x) = x is shifted 4 units up, which of the following equations would the new graphed line represent?

• f(x) = 4x

• f(x) = x - 4

• f(x) = x + 4

• f(x) = 4x - 4

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

If the graph of the parent function f(x) = x is shifted 7 units
down, which of the following equations would the new graphed
line represent?

• f(x) = 7x
• f(x) = x - 7
• f(x) = x + 7
• f(x) = 7x - 7

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

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

• Vertical stretch by a factor of 2

• Vertical compression by a factor of 1/2

• Vertical translation up by 2 units.

• Horizontal compression by a factor of 1/2

Tags

CCSS.HSF.BF.B.3

Which transformation will occur if f(x) = x is replaced with 0.5f(x)?

• Vertical stretch by a factor of 0.5

• Horizontal Stretch by a factor of 0.5

• Vertical translation up by 2 units.

• Horizontal translation up by 0.5 units.

Tags

CCSS.HSF.BF.B.3

The linear parent function, f(x) = x, is transformed to g(x) = f(x + 3). Describe the transformation.

• g(x) is shifted up 3 units

• g(x) is shifted down 3 units

• g(x) is shifted left 3 units

• g(x) is shifted right 3 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2