Describe the Transformation
Vocabulary
Graphing
Equation based off description
100

y-3=(x+2)^2

Shifts up 3

Shifts left 2

100

Quadratic

y=x^2

100

y-2=(x-3)^2

100

y=x^2

Shifted up 5

y-5=x^2

200

y+3.6=|x-2|

Shifts Down 3.6

Shifts right 2

200

Cubic

y=x^3

200

y+1=(x+2)^3

200

y=x^3

shifted down 5

shifted right 3

y+5=(x-3)^3

300

y+12=-(x+4)^3

Shifts down 12

Reflects vertically

Shifts left 4

300

Vertex

300

y+3=-|x|

300

y=x^3

reflected vertically

shifted up 3

y-3=-x^3

400

y=-|x-3|+5

Reflects vertically

Shifts right 3

Shifts up 5


400

Absolute value

y=|x|

400

y=sqrt(x+3)-4

400

y=sqrtx

*y by itself

shifted right 3.5

shifted down 5

500

y=sqrt(x+8)-2

Shifts left 8

Shifts down 2

500

Square root

y=sqrtx

500

y=-sqrt(x)+5

500

y=|x|

*y by itself

shifted down 2

reflected vertically

shifted right 3

y=-|x-3|-2