Horizontal Shifts

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

A horizontal shifts move a function...

• up or down

• left or right

• right

• left

• bottom

• top

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

What shifts have occurred?

• left 1, up 5

• left 1, down 5

• right 1, down 5

• right 1, up 5

Match the equation to its description.

• Right 2 and up 2

• Left 2 and up 2

• Right 2 and down 2

• Left 2 and down 2

What shifts have occurred?

• left 1, up 5

• left 1, down 5

• right 1, up 5

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