1 Transformation
Name the transformation:
g(x)=f(x)+2
Vertical Translation up 2 units.
f(x-4)-7
Translation right 4, and down 7
3f(x-2)+3
Horizontal translation right 2 units
Vertical stretch by a factor of 3
Vertical translation up 3 units.
-2f(x+1)+1
Horizontal translation left 1 unit
Vertical stretch by a factor of 2
Reflection over the x axis
Vertical translation up 1 unit
Name the transformation:
g(x)=f(x+7)
Horizontal translation left 7 units.
2f(x+1)
Vertical Stretch by a factor of 2
Horizontal translation left 1 unit
-f(4(x-2)
Horizontal translation right 2 units
Horizontal compression by a factor of 1/4
Reflection over the x-axis
1/5f(-(x-3))+41
Reflection over the y axis
Horizontal translation right 3 units
Vertical compression by a factor of 1/5
Vertical translation up 41 units
Name the transformation:
h(x)=3*f(x)
Vertical stretch by a factor of 3
f(2x)-5
Horizontal compression by a factor of 1/2
Vertical translation down 5 units
-f(-x)-6.7
Reflection over y axis
Reflection over x axis
Vertical translation down 6.7 units
Everyone gets a piece of chocolate!!!!!!!!!!!!!!!!!
Heck to the yeah!
Name the transformation:
j(x)=f(-x)
Reflection over the y-axis
3/10*f(-x)
Vertical compression by a factor of 3/10.
Reflection over the y axis.
f(2/3(x-5))+1
Horizontal translation right 5 units
Horizontal stretch by a factor of 3/2
Vertical translation up 1 unit
-3f(-9/10x)
Horizontal stretch by a factor of 10/9
Reflection over the y axis
Vertical stretch by a factor of 3
Reflection over the x axis
Name the transformation:
k(x)=f(2/3x)
Horizontal stretch by a factor of 3/2 or 1.5.
2f(2x)
Vertical Stretch by a factor of 2
Horizontal compression by a factor of 1/2.
3/5f(-3/5x)
Horizontal stretch by a factor of 5/3
Reflection over the y axis
Vertical compression by a factor of 3/5
4/5f(-1/2(x+.2))
Horizontal stretch by a factor of 2
Reflection over the y axis
Horizontal translation left .2 units
Vertical compression by a factor of 4/5