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 )

Which function below describes only the following transformations? Horizontal shift Left 2 Horizontal shrink by 1/2

y = cos ⁡ ( 2 x + 4 ) y=\cos\left(2x+4\right) y = cos ( 2 x + 4 )

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

y = cos ⁡ ( 2 x + 2 ) y=\cos\left(2x+2\right) y = cos ( 2 x + 2 )

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

Which function below matches this graph?

y = − tan ⁡ ( x ) y=-\tan(x) y = − tan ( x )

y = tan ⁡ ( x ) y=\tan(x) y = tan ( x )

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

y = − 2 + tan ⁡ ( x ) y=-2+\tan(x) y = − 2 + tan ( x )

Which trig function below is the equation for a sine function with an amplitude of 6 and a period of π /4.

y = 6 sin ⁡ ( 8 x ) y=6\sin(8x) y = 6 sin ( 8 x )

y = 6 sin ⁡ ( 8 ( x − 1 ) ) y=6\sin\left(8(x-1)\right) y = 6 sin ( 8 ( x − 1 ) )

y = 6 sin ⁡ ( 1 4 x ) y=6\sin\left(\frac{1}{4}x\right) y = 6 sin ( 4 1 x )

y = 6 sin ⁡ ( π 4 x ) y=6\sin\left(\frac{\pi}{4}x\right) y = 6 sin ( 4 π x )

Which function below describes only the following transformations? Reflection over the x-axis Vertical shift down by 1/2 Horizontal shrink by 1/3

y = − 1 2 − tan ⁡ ( 3 x ) y=\frac{-1}{2}-\tan(3x) y = 2 − 1 − tan ( 3 x )

y = − 1 3 + sin ⁡ ( 1 2 x ) y=-\frac{1}{3}+\sin(\frac{1}{2}x) y = − 3 1 + sin ( 2 1 x )

y = − 3 − sin ⁡ ( 2 x ) y=-3-\sin(2x) y = − 3 − sin ( 2 x )

y = − 1 2 + tan ⁡ ( 1 3 x ) y=-\frac{1}{2}+\tan(\frac{1}{3}x) y = − 2 1 + tan ( 3 1 x )

Trignometry Graph

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Trignometry Graph

Quiz

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Medium

•

CCSS

HSF-IF.C.7E, HSF.TF.A.4

Standards-aligned

Jiawei Liu

Used 7+ times

FREE Resource

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the equation of the curve?

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

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

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

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

Tags

CCSS.HSF-IF.C.7E

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the period of the graph?

$\frac{5\pi}{4}$

$\frac{\pi}{4}$

$\pi$

$2\pi$

Tags

CCSS.HSF-IF.C.7E

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

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

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

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

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

Tags

CCSS.HSF-IF.C.7E

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

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

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

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

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

Tags

CCSS.HSF-IF.C.7E

10.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

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

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

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

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

Tags

CCSS.HSF-IF.C.7E

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37 questions

What is the period of the graph?

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What is the equation of the curve?

What is the equation of the curve

What is the period of the graph?

What is the equation of the curve?

What is the period of the graph?

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

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

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

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