Graph Cosine Functions worksheets
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Q. What is the amplitude for y = 4cos(0.5x +pi) - 2?
answer choices
2
pi/2
pi
4
Q. What is the vertical shift for y = 4cos(0.5x +pi) - 2?
answer choices
up 2
left 2
right 2
down 2
Q. What is the horizontal shift for y = 4cos(2(x +pi)) - 2?
answer choices
left pi/2
right pi/2
right pi
left pi
Q. Write an equation for the cosine function with amplitude 3, period 2pi, horizontal shift of pi, and vertical shift of 5.
answer choices
y = 5cos(x - pi) + 3
y = 3cos(x - pi) + 5
y = 3cos(2x - pi) + 5
y = 5cos(2x - pi) + 3
Q. What is the range of y = sin x ?
answer choices
{-1 < y < 1}
{-1 ≤ y ≤ 1}
{-1 < x < 1}
{-1 ≤ x ≤ 1}
Q. What is the amplitude of the function
f(x) = -3cos x ?
f(x) = -3cos x ?
answer choices
-3
3
6
-6
Q. In the graph shown, what is the value of A if the graph is of the function
f(x) = A sin (Bx) + D
f(x) = A sin (Bx) + D
answer choices
-2
2.5
3
-3.5
Q. In the graph shown, what is the value of B if the graph is of the function
f(x) = A sin (Bx) + D
f(x) = A sin (Bx) + D
answer choices
1
2
3
-1
Q. In the graph shown, what is the value of D if the graph is of the function
f(x) = A sin (Bx) + D
f(x) = A sin (Bx) + D
answer choices
1
0.5
-0.5
-2
Q. Which of
A sin B(x – C) + D
affects the period?
A sin B(x – C) + D
affects the period?
answer choices
A
B
C
D
Q. What does C do in the function
A sin B(x – C) + D
?
A sin B(x – C) + D
?
answer choices
Changes the amplitude
Changes the period
Changes the vertical position of the 'waves'
Changes the horizontal position of the 'waves'
Q. What is the equation of the blue graph?
answer choices
y = 2sin x
y = sin(2x)
y = sin(x + 2)
y = sin x - 2
Q. What is the equation of the blue graph?
answer choices
y = 4sin x
y = sin(4x)
y = sin(x + 4)
y = sin x + 4
Q. What transformation is shown?
answer choices
Left π/2
Right π/2
Left π
Right π
Q. What transformation is shown?
answer choices
Stretch of ⅓
Up 3
Stretch of 3
Shrink of ⅓
Q. What is the equation of the blue graph?
answer choices
y = sin(3x)
y = 3sin x
y = sin(3x)
y = sin x + 3
Q. What is the horizontal shift?
y=-2sin(x-π)
y=-2sin(x-π)
answer choices
π left
π right
none
2π right
Q. What is the range?
y=3cos(2x)
y=3cos(2x)
answer choices
(-3,3)
[-2,2]
[-3,3]
[3,-3]
Q. Which equation?
answer choices
y= -cos(2x)
y= cos(2x)
y= (1/2)cosx
y= (-1/2)cosx
Q. Which function below describes only the following transformations?
Left π/2
Period: π
Left π/2
Period: π
answer choices
csc2(x+π/2)
2sec(x+π/2)
tanπ/2(x+2)
2-csc(x+π/2)
Q. Which function below describes only the following transformations?
Reflection over x-axis
Amplitude: 1/2
Reflection over x-axis
Amplitude: 1/2
answer choices
-1/2+sin(x)
sec1/2(x-π)
cot(x-π/2)
-1/2tan(x)
Q. Which function below describes only the following transformations?
Up 3
Right π/6
Up 3
Right π/6
answer choices
3+cos(x-π/6)
3sec(x-π/6)
tan(x+π/6)-3
sin3(x+π/6)
Q. Which function below describes only the following transformations?
Reflection over x-axis
Down 2
Period: 2π/3
Amplitude: 2
Reflection over x-axis
Down 2
Period: 2π/3
Amplitude: 2
answer choices
cot3(x)+2
-3cos2(x-2)
-2-2csc3(x)
sec2(x+2π/3)+2
Q. What is the vertical shift?
answer choices
Down 1
Down 7
Down 4
Down 6
Q. what is the amplitude of y=3sin(7x)-2
answer choices
7
-2
3
6
Q. what is the period of y= -3sinx
answer choices
π
2π
3π
4π
Q. What is the period of y=4cos5x
answer choices
2π/5
π
5
5π
Q. Write the equation for a sine function with an amplitude of 6 and a period of π/4.
answer choices
y=6sin(8x)
y=6sin8(x-1)
y=6sin1/4x
y=6sinx
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Interactive graph-cosine-functions worksheets & quizzes
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