Review of Transformations of Linear Functions

y = x

y = mx + b

f(x) = 2x

Not here

f(x) = -2x

f(x) = x - 2

f(x) = x + 2

f(x) = 2x

Graph g is a reflection. over the x axis

Graph g shifts down 2 units.

Graph g is stretched by a factor of 2

Graph g is compressed by a factor of 1/2

Graph g is reflected over the x axis and stretched by a factor of 3

Graph g is stretched by a factor of 3

Graph g reflected over the x axis and compressed by a factor of 3

Graph g reflected and stretched by a factor of 3

Graph g is compressed by a factor of 1/5

Graph g shifted down 1 unit

Graph g is stretched by a factor of 1/5

Graph g shifted up 2 units

Graph g shifted down 3 units

Graph g shifted down 4 units

Graph g shifted up 4 units

Graph g reflected over the x axis

Graph g shifted down 6 units

Graph g is stretched by a factor of 7

Graph g is compressed by a factor of 1/3

Graph g shifted up 6 units

Graph g reflected over the x axis

Graph g is stretched by a factor of 2

Graph g is stretched by a factor of 2 and it reflected over the x axis

Graph g is stretched by a factor of 2, it reflected over the x axis, and it shifted up 3 units

Graph g reflected over the x axis

Graph g shifted up 2 units

Graph g reflected over the x axis and shifted down 2 units.

Graph g reflected over the x axis and shifted up 2 units