Transformations of Linear Functions

Which transformation will occur if y = x is replaced with y =2x?

• Vertical stretch

• Vertical compression

• Vertical translation up by 2 units.

  Horizontal stretch

• Horizontal compression

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Which transformation will occur if y = x is replaced with y = x+2?

• Translation left 2 units

• Translation right 2 units

• Vertical translation up by 2 units.

• Reflection across the x-axis.

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

How did the equation transform from y = x to the y = -x + 2

• Reflection over y-axis, translated up 2

• Reflection over y-axis, vertical stretch

• vertical translation and vertical compression

• translated down 2

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) = .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