Notation
If my graph was reflected across the y-axis, what would the function look like?
f(-x)
Give the function notation when I shift my graph left
f(x+a)
Name that transformation:
f(0.5x)+5
Stretch the graph in the horizontal direction by SF of 2 and move 5 up
Name that transformation:
f(x+2) - 4
Move graph 2 left and 4 down
Given the coordinate (0,5) on f(x), what is the new coordinate when f(x-1)
(1,5)
Name the transformation:
2f(x)
Stretch the graph by SF of 2 vertically
Name the transformation:
f(2x)
Compress the graph by a scale factor of 0.5 horizontally
2f(x)-2
Stretch graph by SF 2 vertically and move 2 down
Given the coordinate (0,5) on f(x), what is the new coordinate when f(x+2) + 3
(-2,8)
Give the function notation when I shift up.
f(x) + a
Name that transformation:
f(x)+3
Translate the graph 3 up
Name that transformation:
f(x-3)+4
Move the graph 3 right and 4 up
Given the coordinate (0,5) on f(x), what is the new coordinate when f(x) + 3
(0,8)
Given the coordinate (3,5) on f(x), what is the new coordinate when 2f(x)
(3,10)
Give the function notation when I shift down
f(x) - a
Name that transformation:
f(x) - 10
Translate the graph 10 down
Name that transformation:
f(x+4)-3
Move graph 4 left and 3 down
Name that transformation:
f(x-2)+3
Move graph 2 right 3 up
Given the coordinate (2,-2) on f(x), what is the new coordinate when f(2x)
(1,-2)
Give the function notation when I shift my graph right
f(x-a)
Name that transformation:
2f(x) +3
Stretch the graph by SF of 2 vertically and move 3 up
Name that transformation:
f(2x+4)-2
Compress the graph horizontally by 0.5 then move 4 left and 2 down
2f(x+4)-2
Stretch graph 2 vertically then move 4 left then 2 down
Given the coordinate (1,1) on f(x), what is the new coordinate when 3f(x-5) + 5
(6,8)