Horizontal Shifts + Reflections

A horizontal shifts move a function...

• up or down

• left or right

• right

• left

• bottom

• top

Which best describes how to translate the red graph, f(x), to the blue graph?

• Slide left one unit

• Slide right one unit

• Slide up three units

• Slide right 2 units

Which best describes how to transform the red graph, h(x), to the blue graph?

• h(x - 7)

• h(x + 7)

• h(x) + 7

• h(x) - 7

Which best describes how to transform the red graph, h(x), to the blue graph?

• Shift h(x) to the right seven units.

• Shift h(x) to the left seven units.

• Shift h(x) up four units.

• Shift h(x) right five units.

What is the equation of the graph below?

• f(x) = I x + 2 I 
• f(x) = I x + 2 I +2
• f(x) = I x - 2 I +2
• f(x) = I x - 2 I 

Tags

CCSS.HSF-IF.C.7D

What is the equation of the graph below?

• f(x) = I x + 2 I 
• f(x) = I x + 2 I +2
• f(x) = I x - 2 I +2
• f(x) = I x - 2 I 

Tags

CCSS.HSF-IF.C.7D

Describe the transformation of f(x) that results in g(x):
g(x)=f(x-4)

• f(x) has been translated to the right 4.
• f(x) has been translated to the left 4.

Describe the transformation of f(x) that results in g(x):
g(x)=f(x+9)

• f(x) has been translated to the left 9.
• f(x) has been translated to the right 9.

  The blue function is f(x)=|x|, red function's equation must be

• g(x)=|x+2|
• g(x)=|x|+2
• g(x)=|x-2|
• g(x)=|x|-2