Transformations Using Function Notation

How do we represent a translation 2 units to the left using function notation?

How do we represent a reflection across the x-axis in function notation?

How do we represent a vertical stretching by scale factor 2 using function notation?

Which transformation is shown here (from red to purple)?

• Translation 2 units left

• Translation 2 units right

• Reflection across the x-axis

• Reflection across the y-axis

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

• vertical

• 2

• 1

• up

• down

• left

• right

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

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

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

​ (a)   ​ ​ (b)   ​ (c)   ​

• g(x)=

• f(x)

• -11

• 7

• 9

• +11

• f(x)=

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

Mathematical Equivalence

ON

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

• horizontal

• 4

• left

• vertical

• right

• 3

• up