Quadratic
Cube
Cube Root
Square Root
Absolute Value
200

y=(x-2)^2

right 2 units

200

y=(x-3)^3

right 3 units


200

y=^3sqrt(x)-5

down 5 units

200

y=sqrt(x-3)

right 3

200

y=|2x-2|

horizontal compression by 1/2 

right 1 unit


300

y=(x+3)^2-2

left 3 units

down 2 units

300

y=1/2(x-4)^3

vertical compression by 1/2 

right 4

300

y=-^3sqrt(x-3)

reflection over x

right 3 units


300

y=sqrt(3-x)+5

reflection over y

right 3 units

up 5 units


300

y=2|x-3| +3

vertical stretch by 2

right 3 units

up 3 units



400

y=-(3x)^2+2

reflection over x

horizontal shrink by 1/3 

up 3 units

400

y=(-x-2)^3+6

reflection over y axis

left 2 units

up 6 units

400

y=5^3sqrt(3-x)+1

Vertical stretch by 5

reflection over y

right 3 units

up 1 unit

400

y=-2sqrt(1/2x-4)-7

vertical stretch by 2, horizontal stretch by 2

reflection over x

right 8 units

down 7 units


 

400

y=-2|3x+3|

vertical stretch by 2

reflection over x

horizontal compression by 1/3

left 1 unit

500

y=4(x-1)^2+7

vertical stretch by 4

right 1 unit

up 7 units

500

y=1/5(1/5x-3/5)^3

vertical  compression by 1/5

horizontal stretch by 5

right 3 units


500

y=4^3sqrt(4-1/2x)-3

vertical stretch by 4

horizontal stretch by 2

reflection over y

left 8 units, down 3 units


500

y=1/2sqrt(-3-x)-2

vertical compression by 1/2

reflection over y 

left 3 units

down 2 units

500

y=3|-1/3x-2/3|-5

vertical stretch by 3

horizontal stretch by 3

reflection over y

left 2 units

down 5 units

600

y=-3(-1/2(x-2))^2+3

reflection over x, vertical stretch by 3

reflection over y, horizontal stretch by 2 

right 2, up 3

600

y=(2-2x)^3-2

reflection over y

right 1 unit 

down 2 units


600

y=-2^3sqrt(-2x-6)+1

vertical stretch by 2

horizontal compression by 1/2

reflection over x and reflection over y

left 3 units and up 1 unit

600

y=-4sqrt(-1/2x-3)

vertical stretch by 4

horizontal stretch by 2

reflection over x, reflection over y

left 3 units

600

y=1/4|6-3x|+2

vertical compression by 1/4

reflection over y

horizontal compression by 3

right 2 units

up 2 units

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