Linear Transformations

What is the linear parent function?

• y = x

• y = mx + b

• f(x) = 2x

• Not here

Tags

CCSS.8.F.B.4

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)?

• The line is steeper by a factor of 2

• The line is less steep by a factor of 2

• The line is steeper by a factor of 1/2

• The line is less steep 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)?

• Less steep by a factor of 0.5

• Steeper by a factor of 0.5

• Moved up 0.5 units

• Moved down 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

The parent function f(x)=x is transformed to create the function g(x)=2f(x). Which graphs best represents the transformation of f(x)?

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Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

The parent function f(x)=x is transformed to create the function g(x)=.5f(x). Which graphs best represents the transformation of f(x)?

• 
• 
• 
• 

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

The parent function f(x)=x is transformed to create the function g(x)=.5f(x). Which graphs best represents the transformation of f(x)?

• 
• 
• 
• 

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2