Linear Function Transformations

What is the linear parent function?

• y = x

• y = mx + b

• f(x) = 2x

• Not here

Tags

CCSS.HSF.LE.A.2

This line is known as f(x) and what else?

• grandma function

• grandpa function

• parent function

• baby function

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is a transformation?

• A change in the size or position of an object

• A change in the parent of a function

• A change in the direction of an object

• A change in the shape of an object

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

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

• g(x) is translated up 6 units

• g(x) is translated down 6 units

• g(x) is translated left 6 units

• g(x) is translated right 6 units

Tags

CCSS.HSF.BF.B.3

Describe the transformation from the parent function: y = 3x + 5

• Steeper; translated up 5 units

• Steeper; translated down 5 units

• Less steep; translated up 5 units

• Less steep; translated down 5 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 translated down 2 units.

• Graph g is steeper.

• Graph g is less steep.

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 rotated

• Graph g translated down 4 units

• Graph g translated up 4 units

• Graph g reflected

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

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

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

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

• g(x) is less steep and translated down from from f(x)

• g(x) is less steep and translated up from f(x)

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Rewrite f(x) = 2x - 1 translated up three units and the slope doubled

• f(x) = 5x - 2

• f(x) = 4x + 2

• f(x) = 4x + 3

• f(x) = 5x - 4

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.8

Describe the transformation(s) from f(x) to g(x).

f(x) = 3x - 5

g(x) = -3x + 2

• Rotation steeper and translated up 7

• Rotation less steep and translated up 7

• Reflection and translated up 7

• Reflection and translated down 7 units

Tags

CCSS.HSF.BF.B.3