Describing Transformations of Parent Functions

• Horizontal Translation Left

• Vertical Compression

• Refection across the x-axis

• Reflection across the y-axis

• Vertical Translation Up

• Horizontal Stretch

• shift up 5

• shift down 5 

• shift left 5 

• shift right 5 

• shift up 2

• shift down 2

• shift left 2 

• shift right 2

• vertical shift up 

• vertical shift down 

• horizontal shift left 

• reflection 

• horizontal shift right

The graph of the function f was transformed to create the function g as shown below. Based on the graph, which equation can be used to describe g(x) in terms of f(x)?

• - f(x - 3) + 4

• - f(x - 3) - 4

• - f(x - 4) - 3

• - f(x - 4) + 3

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

• The graph of g is a vertical translation 2 units up of the graph of f

• The graph of f is a horizontal translation two units left of g

• The graph of g is a vertical stretch by a factor of 2 of the graph of f

• The graph of g is a reflection of the graph of f

Describe the transformation

• left 2 up 5

• right 2 up 5

• left 2 down 5

• right 2 down 5

Tags

CCSS.HSF.BF.B.3

Describe the transformation of the parent function f(x)=x that results in the graph of g(x).

g(x) = 1/4(x - 2) + 3

The graph is ​ (a)  

The graph has a ​ ​ (b)  

The graph is moved ​ ​ (c)   and ​ (d)  

• Compression by 1/4

• Not reflected

• Right by 2

• Up by 3

• Reflected

• Stretched by 1/4

• Left by 2

• Down by 3

• Left by 3

• Down by 2

• Reflection over y-axis; Right 3; Up 1
• Right 3; Up 1
• Reflection over x-axis; Left 3; Up 1
• Reflection of x-axis; Right 3; Up 1

Tags

CCSS.HSF.BF.B.3

Describe the transformation from dotted to solid.

• f(x + 5) + 3

• f(x +3) + 5

• f(x - 5) + 3

• f(x - 3) + 5