You Name It!
List the transformations:
f(x) = 2/(x-4)
vertical stretch by 2, move right 4
f(x) = (x+3)^3; g(x) = sqrt(x+3)
(f)(g^2) = ?
(x+3)^4
g(x) = x^3; describe the transformation below
g(x)=(x+1)^3
left 1 unit
f(x) = x^3
expand vertically by a factor of 3
translate left 1 unit
3(x+1)^3
f(x) = x^2 --> g(x)=(x+4)^2
Where is the point (1, 1)?
(1, 25)
List the transformations:
f(x) = |x-2|+3
right 2, up 3 units
f(x) = 2x-1; g(x) = 3x+5; (f-g)(x)=?
-x-6
g(x) = x^3; describe the transformation below
g(x)=x^3-2
Down 2 units
expand vertically by a factor of 3
reflect across the x-axis
translate down 1 unit
f(x)=sqrt(x)
Compress/Shrink Vertically by a factor of
-3sqrt(x)-1
g(x) = sqrt(x)
Describe the transformation:
g(x)=3sqrt(16(x+1))
left 1 unit
vertical expansion by 12
List the transformations:
f(x) = sqrt(2-x)
reflection about the y-axis
left 2 units
f(x)=x^2 + 4x - 2; g(x) = 5x + 6
f(x)-g(x)=?
x^2 - x - 8
g(x) = |x|; describe the transformation below
g(x)=|x-1|+4
Right 1 unit; up 4 units
compress horizontally by a factor of 2
translate left 3 units
f(x)=1/x
f(x)=1/2(x+3)
g(x) = |x|
Describe the transformation:
g(x) = 1/(|x+2|/5)
vertical expansion by 5
to the left by 2
List the transformations:
f(x) = 3|x+3|-3
(a) left 3 units, down 1 unit, vertical stretch by 3
or
(b) left 3 units, vertical stretch by 3, down 3 units
f(x) = 1/x; g(x) = sqrt(x - 1)
(f2/g)(x)=?
1/[sqrt(x-1))(x^2)]
g(x) = x^2; describe the transformation
g(x)=(x+1)^2+1
Up 1 unit; to the left 1 unit
vertical stretching by 9; left 4; up 2
f(x)=x^2
f(x)=9(x+4)^2+2
g(x) = sqrt(x)
Describe the transformation:
g(x) = -3sqrt(x-4)
right 4 units
reflection about the x-axis
vertical expansion by 3
List the transformations:
f(x) = (2x+1)^2 - 3
horizontal compression by 2, left 0.5, down 3
or
vertical stretch by 4, left 0.5, down 3
f(x) = 1/(x+2); g(x) = 1/sqrt(x-1)
f(x) - g(x)=?
[sqrt(x-1) - (x+2)](sqrt(x-1))/[(x+2)(x-1)]
g(x) = sqrt(x); describe the transformation
g(x)=sqrt(x-3) + 7
up 7 units; to the right 3 units
left 4; up 2; vertical stretch by 9
f(x)=x^2
f(x)=9[(x+4)^2+2]
g(x) = x^3
stretch by 2; move to the right by 7; up by -1
g(x) = 2(x - 7)^3 - 1