Linear Transformations # 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

• Shifts the graph left four units

• Shifts the graph right four units

• Shifts the graph up four units

• Shifts the graph down four units

Which transformation on

f(x) = x

is g(x) = -f(x)

• Reflection across the y-axis

• The slope will be less steep

• The graph will be wider

• Reflection across the x-axis.

How did the equation f(x) = x change if

g(x) = 1/2f(x) + 11

• Vertical stretch and shift up 11

• Horizontal compress and shift down 11

• Vertical compress and shift up 11

• Horizontal stretch and shift down 11

 

Describe the transformation that occurred

p(x) = f(x + 3)

• Right 3 units

• Vertical Stretch

• Up 3 units

• Left 3 units

Tags

CCSS.HSF.BF.B.3

 

Describe the transformation that occurred.

h(x) = f(x) + 2

• vertical translation up 2 units

• horizontal translation left 2 units

• Vertical Stretch

• horizontal translation right 2 units

Describe the transformation that occurred.

w(x) = f(x - 7)

• vertical translation Down 7

• vertical translation up 7

• horizontal translation right 7

• vertical compression by 7

Which of the following g(x) equations is vertically stretched and shifted down from f(x) = x?

• g(x) = 2 f(x) + 6

• g(x) = 1/2 f(x) + 6

• g(x) = 2 f(x) - 6

• g(x) = 1/2 f(x) - 6

Let g(x) be the indicated transformation of f(x). Write the rule for g(x) then find the NEW g(x)

f(x)= - 3x + 6, vertical translation up 9 units

• g(x)= - 3x - 21

• g(x)= - 3x + 15

• g(x)= - 3x + 33

• g(x)= - 3x - 3

Let g(x) be the indicated transformation of f(x). Write the rule to find the new g(x),

f(x)= - 8x - 3, vertical translation down 5 units

• g(x)= - 8x - 8

• g(x)= - 8x + 2

• g(x)= - 8x + 37

• g(x)= - 8x - 44