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SHIFTS: f ( x ) d_______________________________________________
x
y
Result for the whole graph
_________________________
x f(x) f(x)+2 (x,y)-4-1034
SHIFTS: f ( x c)
_____________________
____________________
x
yx (x+1) y (x,y)-4-2-1023
Result for the whole graph
_________________________
STRETCH / COMPRESS:
a [ f ( x ) ] __________________________
______________________________
Result for the whole graph
_______________________________
x
y
x f(x) f(x) (x,y)-4-1034
STRETCH / COMPRESS:
f ( bx ) _________________________
______________________________
Result for the whole graph
___________________________
x
yx (2x) y (x,y)-2-1-0.5011.52
REFLECTIONS:
- f ( x ) ________________________
_________________________________
x f(x) f(x) (x,y)-4-1034
x
y
Result for the whole graph
_______________________________
REFLECTIONS:
f ( -x ) ___________________________
_________________________________
x
y
Result for the whole graph
_______________________________
x ( -x) y (x,y)-4-3014
The affect of Transformations on the Domain
y a f bx c d Only the argument ____________________ affects the x values
f ( x + 1)
x
y
f ( -x )
f ( 2x )
Domain of f : ____________________
Find the domain of :
Definition
Unit Circle:
A circle with radius 1 and center at the origin of a rectangular coordinate system.
-1 1
-1
1
y
x
90°1. Fold circle into 90° angles2. Label quadrants3. Draw radii (Mark right side of
x-axis darker)4. Label ordered pairs5. Label degrees from 0° to each
interval6. Label the corresponding
radianmeasure (use fraction always)
Definition
-1 1
-1
1
y
x
Radian:
The length of the arc on the unit circle above the angle. The length of this arc is a measure of the angle in radians.
Radians1. Measure radius with string2. Measure one radian on arc of
circle3. Continue process around
circumference of circle4. Label radians from 0 rads to
each interval
45°1. Measure 45° angles2. Label ordered pairs3. Label degrees from 0° to each
interval4. Label the corresponding
radian measure (use fraction always)
30°1. Measure 30° angles2. Label ordered pairs3. Label degrees from 0° to each
interval4. Label the corresponding
radian measure (use fraction always)
60°1. Measure 60° angles2. Label ordered pairs3. Label degrees from 0° to each
interval4. Label the corresponding
radian measure (use fraction always)
Label each point on the circle graph in degrees and radians.
0 (1,0)
2 2( , )
4 2 2
1 3,
3 2 2
3 1 ,
6 2 2
5 3 1 ,
6 2 2
( 1,0)
(0,1)2
3 (0, 1)
2
3 2 2,
4 2 2
2 1 3,
3 2 2
4 1 3,
3 2 2
5 2 2,
4 2 2
7 3 1 ,
6 2 2
5 1 3,
3 2 2
7 2 2,
4 2 2
11 3 1 ,
6 2 2