Linear Transformations

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

• Translation 2 units to the left

• Translation 2 units to the right

• Vertical translation up by 2 units.

• Reflection across the x-axis.

Tags

CCSS.HSF.BF.B.3

What 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

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

• Graph g is a vertical translation 2 units up from graph f

• Graph f is a horizontal translation 2 units to the left of g

• Graph g is a vertical stretch by a factor of 2 from graph f

• Graph g is a reflection of graph f

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

What represents the main function of moving two units down?

• f(x) = -2x

• f(x) = x - 2

• f(x) = x + 2

• f(x) = 2x

Tags

CCSS.HSF.BF.B.3

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

• Graph g is a reflection.

• Graph g moves 2 units down.

• Graph g is steeper by a factor of 2.

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

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

• Graph g moves 6 units down

• Graph g becomes steeper by a factor of 7

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

• Graph g moves 6 units up

Tags

CCSS.HSF.BF.B.3

• Vertical stretch by a factor of 4

• Vertical compression by a factor of 1/4

• Vertical translation up by 1/4 units.

• Horizontal compression by a factor of 4

Tags

CCSS.HSF.BF.B.3

Which function is best represented by the graph g?

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

What is this called f(x) and what else?

• grandmother function

• grandfather function

• mother function

• baby function

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.C.7

How does the graph of g(x) compare to f(x)?

• g(x) is steeper and shifts down from f(x)

• g(x) is steeper and shifts up from f(x)

• g(x) is flatter and shifts down from f(x)

• g(x) is flatter and shifts up from f(x)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7