Horizontal Shifts

A horizontal shifts move a function...

• up or down

• left or right

Horizontal shifts are a little trickier than vertical shifts. For example,  $f\left(x-2\right)$  looks like a slide to the left but it is actually a slide to the _______________.

• 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.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.C.7

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.

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

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.

Tags

CCSS.HSF.BF.B.3

  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

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.
• f(x) has been translated down 4.
• f(x) has been translated up 4. 

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4