Graph Transformations and Shifts

A shift up or down

A shift left or right

A reflection over the x-axis

A change in the slope

Down

Up

Right

Left

Shift left 5 units, up 4 units

Shift right 5 units, down 4 units

Shift left 5 units, down 4 units

Shift right 5 units, up 4 units

Multiply the x-coordinate by 5

Divide the x-coordinate by 5

Add 5 to the x-coordinate

Subtract 5 from the x-coordinate

Divide the y-coordinate by 4

Multiply the y-coordinate by 4

Add 4 to the y-coordinate

Subtract 4 from the y-coordinate

Shift up 2 units

Shift left 2 units

Shift down 2 units

Shift right 2 units

Shift up 3 units

Shift down 3 units

Shift left 3 units

Shift right 3 units

(7, 5)

(3, -1)

(7, -1)

(3, 5)

(-2, 7)

(-2, 1)

(-4, 7)

(-4, 1)

Graph transformations are only vertical.

Graph transformations can be both horizontal and vertical.

Graph transformations are only horizontal.

Graph transformations do not affect endpoints.