Transformations of Exponential Functions

vertical stretch and reflection over the x-axis

Name the transformation. -4f(x)

reflection over the x-axis

Name the transformation. -f(x)

vertical compression and reflection over the x-axis

Name the transformation. -½ f(x)

vertical compression

Name the transformation. 0.68 f(x)

vertical stretch by a factor of 5

Name the transformation. 5f(x)

horizontal shift 10 units left

Name the transformation. f(x + 10)

horizontal shift 8 units left

Name the transformation. f(x + 8)

horizontal shift 2 units right

Name the transformation. f(x - 2)

horizontal shift 4 units right

Name the transformation. f(x - 4)

vertical shift 10 units up

Name the transformation. f(x) + 10

vertical shift 3 units down

Name the transformation. f(x) - 3

vertical compression

Name the transformation. ¼ f(x)