What is the equation of the curve?

y = − cos ⁡ x y=-\cos\ x y = − cos x

y = − cos ⁡ 2 x y=-\cos\ 2x y = − cos 2 x

y = cos ⁡ 2 x y=\cos\ 2x y = cos 2 x

y = cos ⁡ x y=\cos\ x y = cos x

What is the equation of the curve?

y = 2 cos ⁡ x 4 y\ =\ 2\ \cos\ \frac{x}{4\ } y = 2 cos 4 x

y = 2 sin ⁡ x 4 y=2\ \sin\ \frac{x}{4\ } y = 2 sin 4 x

y = 2 cos ⁡ 4 x y\ =\ 2\ \cos\ 4x y = 2 cos 4 x

y − 2 sin ⁡ 4 x y\ -\ 2\ \sin\ 4x y − 2 sin 4 x

What is the equation of the curve

y = − sin ⁡ 2 π x y=-\sin\ 2\pi x y = − sin 2 π x

y = sin ⁡ 2 π x y=\sin\ 2\pi x y = sin 2 π x

y = cos ⁡ 2 π x y=\cos\ 2\pi x y = cos 2 π x

y = − sin ⁡ x y=-\sin\ x y = − sin x

What is the equation of the curve?

y = 1 2 sin ⁡ 4 x y=\frac{1}{2}\sin\ 4x y = 2 1 sin 4 x

y = 1 2 cos ⁡ 4 x y=\frac{1}{2}\cos\ 4x y = 2 1 cos 4 x

y = 1 2 sin ⁡ x 4 y=\frac{1}{2}\sin\ \frac{x}{4} y = 2 1 sin 4 x

y = 1 2 cos ⁡ 4 x y=\frac{1}{2}\cos\ 4x y = 2 1 cos 4 x

Find the values of a, b and c such that y = a cos ⁡ b x + c y=a\ \cos bx\ +\ c y = a cos b x + c

a = 3 , b = 2 , c = 0 a=3,\ b=2,\ c=0 a = 3 , b = 2 , c = 0

a = − 3 , b = 1 , c = 1 a=-3,\ b=1,\ c=1 a = − 3 , b = 1 , c = 1

a = 3 , b = 2 , c = 3 a=3,\ b=2,\ c\ =\ 3 a = 3 , b = 2 , c = 3

a = − 3 , b = − 2 , c = 3 a=-3,\ b=-2,\ c=3 a = − 3 , b = − 2 , c = 3

Find the values of a, b and c such that y = a sin ⁡ b x + c y=a\sin bx+c y = a sin b x + c

a = − 2 , b = 2 , c = 0 a=-2,\ b=2,\ c=0 a = − 2 , b = 2 , c = 0

a = 2 , b = 1 , c = 0 a=2,\ b=1,\ c=0 a = 2 , b = 1 , c = 0

a = 2. b = 2 , c = − 2 a=2.\ b=2,\ c=-2 a = 2 . b = 2 , c = − 2

a = − 1 , b = − 2 , c = − 2 a=-1,\ b=-2,\ c=-2 a = − 1 , b = − 2 , c = − 2

Find the values of a, b and c such that y = a cos ⁡ b x + c y=a\cos bx+c y = a cos b x + c

a = − 2 , b = 4 , c = 2 a=-2,\ b=4,\ c=2 a = − 2 , b = 4 , c = 2

a = − 2 , b = 2 , c = 2 a=-2,\ b=2,\ c=2 a = − 2 , b = 2 , c = 2

a = − 2 , b = 1 , c = 0 a=-2,\ b=1,\ c=0 a = − 2 , b = 1 , c = 0

a = − 2 , b = 4 , c = 0 a=-2,\ b=4,\ c=0 a = − 2 , b = 4 , c = 0

Which function below matches this graph?

− 1 2 tan ⁡ x -\frac{1}{2}\tan\ x − 2 1 tan x

1 2 tan ⁡ x \frac{1}{2}\tan x 2 1 tan x

tan ⁡ ( 1 2 x ) \tan\left(\frac{1}{2}x\right) tan ( 2 1 x )

− 1 2 tan ⁡ ( 1 2 x ) -\frac{1}{2}\tan\left(\frac{1}{2}x\right) − 2 1 tan ( 2 1 x )

What is the equation of the graph?

y = 2 sin ⁡ x y=2\sin x y = 2 sin x

y = 2 cos ⁡ x y=2\cos x y = 2 cos x

y = sin ⁡ x y=\sin x y = sin x

y = sin ⁡ 2 x y=\sin2x y = sin 2 x

Which function below matches this graph?

− 1 2 tan ⁡ x -\frac{1}{2}\tan\ x − 2 1 tan x

1 2 tan ⁡ x \frac{1}{2}\tan x 2 1 tan x

tan ⁡ ( 1 2 x ) \tan\left(\frac{1}{2}x\right) tan ( 2 1 x )

− 1 2 tan ⁡ ( 1 2 x ) -\frac{1}{2}\tan\left(\frac{1}{2}x\right) − 2 1 tan ( 2 1 x )

Which function below describes only the following transformations? Reflection over x-axis Horizontal stretch by 2

y = − sin ⁡ ( 1 2 x ) y=-\sin(\frac{1}{2}x) y = − sin ( 2 1 x )

y = sin ⁡ ( − 2 x ) y=\sin(-2x) y = sin ( − 2 x )

y = − tan ⁡ ( 2 x ) y=-\tan\left(2x\right) y = − tan ( 2 x )

y = − 1 2 tan ⁡ ( x ) y=\frac{-1}{2}\tan\left(x\right) y = 2 − 1 tan ( x )

What is the equation of the graph?

y = 2 sin ⁡ x y=2\sin x y = 2 sin x

y = 2 cos ⁡ x y=2\cos x y = 2 cos x

y = sin ⁡ x y=\sin x y = sin x

y = sin ⁡ 2 x y=\sin2x y = sin 2 x

The period of a sine graph in the form y = ± a sin ⁡ ( ω ( x − h ) ) + k y=\pm a\sin\left(\omega\left(x-h\right)\right)+k y = ± a sin ( ω ( x − h ) ) + k

2 π ω \frac{2\pi}{\omega} ω 2 π

Which function below describes only the following transformations? Vertical shift up 3 Horizontal shift right π/6

y = 3 + cos ⁡ ( x − π / 6 ) y=3+\cos(x-π/6) y = 3 + cos ( x − π / 6 )

y = 3 cos ⁡ ( x − π / 6 ) y=3\cos(x-π/6) y = 3 cos ( x − π / 6 )

y = cos ⁡ ( x + π / 6 ) − 3 y=\cos(x+π/6)-3 y = cos ( x + π / 6 ) − 3

y = cos ⁡ ( 3 x + π / 6 ) y=\cos(3x+π/6) y = cos ( 3 x + π / 6 )

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Practice Problem

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Hard

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CCSS

HSF-IF.C.7E, HSG.SRT.C.6, HSF.TF.C.8

+11

Standards-aligned

Jiawei Liu

Used 1+ times

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122 questions

Show all answers

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is vertical shift of this graph?

Down 2

Down 1

No shift

Up 1

Up 2

What trigonometric functions have vertical asymptotes?

sine

cosine

tangent

none listed here

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What function is graphed here?

sine

cosine

tangent

not listed here

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the period of y=4tan5x

π/5

5π

2π/5

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the period of y=4tanx

π/5

5π

2π/5

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Select the tangent graph.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the phase shift of this graph?

Down 2

left 2

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Trignometry Comprehensive

122 questions

What is vertical shift of this graph?

What trigonometric functions have vertical asymptotes?

What function is graphed here?

What is the period of y=4tan5x

What is the period of y=4tanx

Select the tangent graph.

What is the phase shift of this graph?

What is the period of this graph?

What's the period of this graph?

What's the equation of one of the vertical asymptotes on this graph?

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