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