Accelerated Precalculus
Trig Graphing – 2007
Assign. #15
Name: _______________________
Today’s Preparation determines
tomorrow’s achievements.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Directions - Write the equation of the sine curve described:
1. amp = 2, period =
2. amp =
!
!
, phase shift =
to the right.
2
3
3
, period = 3! , phase shift = 3! to the left.
4
___________________________
___________________________
Directions - Write the equation of the cosine curve satisfying the following conditions.
3. amp = 2, period =
4. amp =
2!
!
, phase shift =
to the right and up 5.
3
3
2
!
, period = 8! , phase shift =
to the left and down 4.
3
2
Directions - Sketch one cycle of each starting with the phase shift.
!&
#!
x" (
$2
4'
5. y = 2 sin %
amp: __________
period: ________
phase shift: _______
vertical shift: _______
domain: ___________
range: _____________
even/odd/neither
6. y = !2 cos ( x + " )
amp: __________
period: ________
phase shift: _______
vertical shift: _______
domain: ___________
range: _____________
even/odd/neither
7. y = !2 sin ( 2x ) ! 4
amp: __________
period: ________
phase shift: _______
vertical shift: _______
domain: ___________
range: _____________
even/odd/neither
___________________________
___________________________
#
$
8. y = !3cos % 2x !
"&
( +1
3'
amp: __________
period: ________
phase shift: _______
vertical shift: _______
domain: ___________
range: _____________
even/odd/neither
#
$
9. y = sin % x !
"&
( +2
4'
amp: __________
period: ________
phase shift: _______
vertical shift: _______
domain: ___________
range: _________
even/odd/neither
10. y = 2 cos ( x + ! )
amp: __________
period: ________
phase shift: _______
vertical shift: _______
domain: ___________
range: _________
even/odd/neither
SELECT ANSWERS:
4" &
#
1. y = 2 sin % 4x !
(
$
3 '
3. y = 2 cos ( 3x ! " ) + 5
5. amp = 2
per = 4
R:
[ !2, 2 ]
check graph on calc.
[ !6, !2 ]
check graph on calc.
neither
1
2
D: ( !", " )
p.s. =
R:
7. amp = 2
per = !
p.s. = none
v.s.: 4 down
D: ( !", " )
neither
9. amp = 1
per = 2!
p.s. =
!
4
v.s. = up 2
D: ( !", " )
R:
[1, 3]
check graph on calc.
neither