3.5 Transformations of linear functions

Describe the transformation(s) in the function g(x) = x + 2 as it relates to the graph of f(x) = x.

• Translation left 2 units

• Translation right 2 units

• Translation up by 2 units.

• Reflection across the x-axis.

Describe the transformation(s) in the function g(x) = -x as it relates to the graph of f(x) = x.

• Reflection across the y-axis

• Narrower

• Vertical translation up by 2 units.

• Reflection across the x-axis.

Describe the transformation(s) in the function g(x) = (x - 4) as it relates to the graph of f(x) = x.

• Translated right by 4

• Translated left by 4

• Horizontal Stretch by 4

• Vertical Stretch by 4

Describe the transformation(s) in the function g(x) = -3x + 5 as it relates to the graph of f(x) = x.

• Reflection over x-axis, vertical stretch, and translated up 5 units

• Reflection over y-axis, translated up 5

• horizontal stretch, down 5

• reflection over x-axis, horizontal stretch, and translated up 5 units

Describe the transformation(s) in the function g(x) = (x+7) as it relates to the graph of f(x) = x.

• translated up 7

• translated down 7

• translated left 7

• translated right 7

Describe the transformation(s) in the function g(x) = .5x - 2 as it relates to the graph of f(x) = x.

• stretched vertically and translated down 2

• stretched horizontally and translated up 2

• compressed vertically and translated right 2

• compressed vertically and translated down 2

Describe the transformation(s) in the function g(x) = (x-3) + 5 as it relates to the graph of f(x) = x.

• translated right 3 and up 5

• translated left 3 and up 5

• translated down 3

• translated up 5