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) Give an equation of the form f (x) = A cos(Bx − C) + D which could
be used to represent the given
graph. (Note: C or D may be zero.) a) f (x) = 3 cos(2 x − π) b) f (x) =
3 cos(2 x − π) − 1 c) f (x) = 6 cos(2 x − π) + 1 d) f (x) = 3 cos(2 x − π)
+ 1 e) f (x) = 6 cos(2 x − π) − 1 f) None of the above. Question 4
Give an equation of the form f (x) = A sin(Bx − C) + D which could
be used to represent the given
graph. (Note: C or D may be zero.) a) f (x) = 3 sin(4 x − π
2) b) f (x) = 3 sin(4 x − π
−1
2) c) f (x) = 6 sin(4 x − π
+1
2) d) f (x) = 6 sin(4 x − π
−1
2) e) f (x) = 3 sin(4 x − π
+1
2) f) None of the above. Question 5
List all x -intercepts for y = −3 cos(4x + a) − π 5π
,
12 12 π
π π
on
the
interval
−
[ 6 , 2 ].
3) b) π 5π
,
12 24 c) π π
,
24 4 d) 0, e) π 7π
,
24 24 f) None of the above. 7π
24 Question 6
Write a sine function with a positive vertical displacement given the
following information: the amplitude
is 6 , the horizontal shift is 12 to the left, y − intercept is (0, 3), and