SHIFTS: f ( x )  d ____________ _ Result for the whole graph _______________.

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Presentation transcript:

SHIFTS: f ( x )  d ________________________ _______________________ Result for the whole graph _________________________

SHIFTS: f ( x  c) _____________________ ____________________ Result for the whole graph _________________________

STRETCH / COMPRESS: a [ f ( x ) ] __________________________ ______________________________ Result for the whole graph _______________________________

STRETCH / COMPRESS: f ( bx ) _________________________ ______________________________ Result for the whole graph ___________________________

REFLECTIONS : - f ( x ) ________________________ _________________________________ Result for the whole graph _______________________________

REFLECTIONS : f ( -x ) ___________________________ _________________________________ Result for the whole graph _______________________________

Combined Transformations: -2 (f (x-1))+3 ____________________________________

The affect of Transformations on the Domain Only the argument ____________________ affects the x values f ( x + 1) f ( -x ) f ( 2x ) Domain of f : ____________________ Find the domain of :

The Calculator and Transformations y1=y2=y3=y1=y2=y3=

Section Day 1 Unit Circle

Objectives: After this lesson, you should be able to: label the unit circle

Definition Unit Circle: A circle with radius 1 and center at the origin of a rectangular coordinate system. y x

90° 1.Fold circle into 90° angles 2.Label quadrants 3.Draw radii (Mark right side of x- axis darker) 4.Label ordered pairs 5.Label degrees from 0° to each interval 6.Label the corresponding radian measure (use fraction always)

Definition 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.

Radians 1.Measure radius with string 2.Measure one radian on arc of circle 3.Continue process around circumference of circle 4.Label radians from 0 rads to each interval

45° 1.Measure 45° angles 2.Label ordered pairs 3. Label degrees from 0° to each interval 4.Label the corresponding radian measure (use fraction always)

30° 1.Measure 30° angles 2.Label ordered pairs 3.Label degrees from 0° to each interval 4.Label the corresponding radian measure (use fraction always)

60° 1.Measure 60° angles 2.Label ordered pairs 3.Label degrees from 0° to each interval 4.Label the corresponding radian measure (use fraction always)

Label each point on the circle graph in degrees and radians.

Assignment