Functions and Transformation

Describe the transformation that is applied to the parent function. 
f(x) = IxI -5

• Shifts left 5

• Shifts right 5

• Shifts up 5

• Shifts down 5

Describe the transformation that is applied to the parent function. 
f(x) =  3 Ix+8I

• Stretches by 3, Shifts left 8

• Stretches by 3, Shifts right 8

• Stretches by 3, Shifts up 8

• Stretches by 3, Shifts down 8

The image shows a ​ (a)   translation ​ (b)   units ​ (c)  

• horizontal

• 4

• left

• vertical

• right

• 3

• up

The graph of g(x) is a
(a)   translation ​ (b)   units ​ ​ (c)   the graph.

• vertical

• 2

• 1

• up

• down

• left

• right

Rewrite g(x) in translation form g(x) = f(x) + k

​ (a)   ​ ​ (b)   ​ (c)   ​

• g(x)=

• f(x)

• -11

• 7

• 9

• +11

• f(x)=

Take the specified parent function and translate it left by 7 units, reflect it vertically, stretch it vertically by a factor of 2 units, then translate it 2 units up.

Mathematical Equivalence

ON

Tags

CCSS.HSF.BF.B.3

Given the following, translate the graph seven left and two up!

Mathematical Equivalence

ON

Tags

CCSS.HSF.BF.B.3

Mathematical Equivalence

ON

Tags

F.BF.3

The graph of r(x) is a​ ​ (a)   ​by the graph of f(x) by a factor of ​ ​ (b)   .

• horizontal stretch

• horizontal shrink

• vertical stretch

• vertical shrink

• 1/3

• 3

• 2/3

Take the specified parent function and translate it left by 7 units, reflect it vertically, stretch it vertically by a factor of 2 units, then translate it 2 units up.

Mathematical Equivalence

ON

Tags

CCSS.HSF.BF.B.3