Linear Transformations

Which transformation on

f(x) = x

is g(x) = -f(x)

• Reflection across the y-axis

• The slope will be less steep

• The graph will be wider

• Reflection across the x-axis.

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.4

CCSS.HSG.CO.B.6

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

• Graph g shifted horizontally right 2 units

• Graph g shifted horizontally right 4 units

• Graph g shifted vertically up 4 units

• Graph g shifted vertically down 4 units

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 vertically 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 vertically up 6 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

Which represents the parent function shifted down two units?

• f(x - 2)

• f(x) - 2

• f(x + 2)

• f(x) + 2

Tags

CCSS.HSF.BF.B.3

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.BF.B.3

CCSS.HSG.CO.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.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 vertically up 3 units

• g(x) is shifted vertically down 3 units

• g(x) is shifted horizontally left 3 units

• g(x) is shifted horizontally right 3 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

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

• g(x) is shifted vertically up 3 units

• g(x) is shifted vertically down 3 units

• g(x) is shifted horizontally left 3 units

• g(x) is shifted horizontally right 3 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

The linear parent function, f(x) = x, is transformed to g(x) = f(x+4) - 6. Describe the transformation.

• g(x) is shifted right 6 units and up 4 units

• g(x) is shifted left 4 units and down 6 units

• g(x) is shifted left 6 units and up 4 units

• g(x) is shifted right 4 units and down 6 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

The linear parent function, f(x) = x, is transformed to g(x) = f(x-1) + 3. Describe the transformation.

• g(x) is shifted right one unit and up 3 units

• g(x) is shifted left one unit and up 3 units

• g(x) is shifted right one unit and down 3 units

• g(x) is shifted left one unit and down 3 units

Tags

CCSS.HSF.BF.B.3