Pre-calc Transformations

Getting through pre-calc one slide deck at a time

Y = f (x + 2)

Shifts to the left 2

Y = f (x - 2)

Shifts to the right 2

Y = f (x) + 2

Shifts up 2

Y = f (x) - 2

Shifts down 2

Y = f (2x)

Compressed horizontally 1/2

Y = f (1/2x)

Stretched horizontally 1/2

Y = 2 f (x)

Stretched vertically 2

Y = ½ f(x)

Compressed vertically 1/2

Y = f(-x)

Reflected over the y-axis

Y = -f(x)

Reflected over the x-axis

F (x) = x

Linear

F (x) = x²

Quadratic 

F (x) = x³

Cubic

F (x) = √x

Square root

F (x) = ³√x

Cube Root

F (x) = IxI

Absolute Value