Transformation of Functions

Given a parent function, f(x), categorize the transformations.

Groups:

(a) Up

,

(b) Down

,

(c) Left

,

(d) Right

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

 

When compared to the parent function f(x), the graph of g(x) is...

Groups:

(a) Narrower

,

(b) Reflected over x-axis

,

(c) Wider

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

• left and up

• right and up

• right and down

• left and right

Match the following graphs with either the parent function or transformation.

• f(x + 2)

• 
• f(x)

• 
• f(x) + 2

• 

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Compared to the parent function of a quadratic, this graph moved ​ (a)  

• right 2
• left 2
• up 2
• down 2

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

Compared to the parent function f(x), this graph moved ​​ (a)  

• right 1
• up 1
• down 1
• left 1

Tags

CCSS.HSF.BF.B.3

• Shift up 5 units

• Shift down 5 units

• Shift right 5 units

• Shift left 5 units