Linear Transformations

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

• Graph g shifted down 3 units

• Graph g shifted down 4 units

• Graph g shifted up 4 units

• Graph g reflected

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

• Graph g is less steep by a factor of 1/5

• Graph g shifted down 1 unit

• Graph g is steeper by a factor of 1/5

• Graph g shifted up 2 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

• Graph g is a reflection.

• Graph g shifts down 2 units.

• Graph g is steeper by a factor of 2

• Graph g is less steeper by a factor of 1/2

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

• Graph g shifted down 6 units

• Graph g is steeper by a factor of 7

• Graph g is less steep by a factor of 1/3

• Graph g shifted up 6 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

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 steeper than f(x)

• g(x) is less steep than f(x)

Tags

CCSS.HSF.BF.B.3

The graphs of linear functions f and g are shown on the grid. Which function is best represented by the graph of g?

Tags

CCSS.HSA.CED.A.2

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

• Translation left 2 units
• Translation right 2 units
• Vertical translation up by 2 units.
• Reflection across the x-axis.

Tags

CCSS.HSF.BF.B.3

The linear parent funciton graphed is represented by f(x). Which function best represents the graph of g(x)?

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

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Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7