Identify the phase shift of: y = − 3 cos ⁡ ( 2 x − π ) + 4 y=-3\cos\left(2x-\ \pi\right)+4 y = − 3 cos ( 2 x − π ) + 4

π 2 \frac{\pi}{2}\ 2 π to the right

π 2 \frac{\pi}{2}\ 2 π to the left

Select the equation with the following criteria: Reflection over x-axis Amplitude = 6 Period = 2 Phase Shift left 1 unit Vertical Shift up 5 units

y = − 6 cos ⁡ ( π x + π ) + 5 y=-6\cos\left(\pi x+\pi\right)\ +\ 5 y = − 6 cos ( π x + π ) + 5

y = − 6 cos ⁡ ( 2 x + 2 ) + 5 y=-6\cos\left(2x\ +\ 2\right)\ +5 y = − 6 cos ( 2 x + 2 ) + 5

y = − 6 sin ⁡ ( x + 1 ) + 5 y\ =-6\sin\left(x+1\right)\ +\ 5 y = − 6 sin ( x + 1 ) + 5

y = − 6 sin ⁡ ( 2 π x + 2 π ) + 5 y=-6\sin\left(2\pi x\ +\ 2\pi\right)\ +5 y = − 6 sin ( 2 π x + 2 π ) + 5

Select the equation with the following criteria: Amplitude = 2 Period = π/2 Phase Shift = π/4 to the right Vertical Shift down 3 units

y = 2 sin ⁡ ( 4 x − π ) − 3 y=2\sin\left(4x-\pi\right)-3 y = 2 sin ( 4 x − π ) − 3

y = − 2 cos ⁡ ( 2 x − π 2 ) − 3 y=-2\cos\left(2x-\frac{\pi}{2}\right)-3 y = − 2 cos ( 2 x − 2 π ) − 3

y = 2 cos ⁡ ( x − π 2 ) − 3 y=2\cos\left(x-\frac{\pi}{2}\right)-3 y = 2 cos ( x − 2 π ) − 3

y = 2 sin ⁡ ( 2 x + π ) − 3 y=2\sin\left(2x+\pi\right)-3 y = 2 sin ( 2 x + π ) − 3

Which equation does the graph represent?

y = cos ⁡ ( x − π 4 ) + 2 y=\cos\left(x-\frac{\pi}{4}\right)\ +2 y = cos ( x − 4 π ) + 2

y = sin ⁡ ( x + π 4 ) + 2 y=\sin\left(x+\frac{\pi}{4}\right)+2 y = sin ( x + 4 π ) + 2

y = cos ⁡ ( x − π ) + 2 y=\cos\left(x-\pi\right)+2 y = cos ( x − π ) + 2

y = sin ⁡ ( x + π 2 ) + 2 y=\sin\left(x+\frac{\pi}{2}\right)+2 y = sin ( x + 2 π ) + 2

What is the equation for the following graph?

y = 0.5 sin ⁡ ( 3 x − 3 π 2 ) y=0.5\sin\left(3x-\frac{3\pi}{2}\right) y = 0 . 5 sin ( 3 x − 2 3 π )

y = − 0.5 sin ⁡ ( 2 x + π ) y=-0.5\sin\left(2x+\pi\right) y = − 0 . 5 sin ( 2 x + π )

y = 0.5 cos ⁡ ( x − π 2 ) y=0.5\cos\left(x-\frac{\pi}{2}\right) y = 0 . 5 cos ( x − 2 π )

y = − 0.5 cos ⁡ ( x − π 4 ) y=-0.5\cos\left(x-\frac{\pi}{4}\right) y = − 0 . 5 cos ( x − 4 π )

Trig Test 7.8 Sin and Cos (Phase Shift and Vertical Shift)

Authored by Bob Tufo

Mathematics

9th - 12th Grade

CCSS covered

Used 97+ times

Trig Test 7.8 Sin and Cos (Phase Shift and Vertical Shift)

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MULTIPLE SELECT QUESTION

45 sec • 1 pt

What is the vertical shift for
$y\ =\ -3\cos\left(4x\ +\pi\right)\ -\ 2$ ?

up 2

left 2

right 2

down 2

Tags

CCSS.HSF-IF.C.7E

MULTIPLE SELECT QUESTION

45 sec • 1 pt

Phase shift indicates ...

An up or down movement

A left or right movement

A reflection over the y-axis

A change in period

Tags

CCSS.HSF-IF.C.7E

MULTIPLE SELECT QUESTION

45 sec • 1 pt

The Vertical shift indicates...

An up or down movement

A left or right movement

change in amplitude

reflection over the x-axis

Tags

CCSS.HSF-IF.C.7E

MULTIPLE SELECT QUESTION

45 sec • 1 pt

What is the phase shift for the function
f(x) = -2sin(4x + π) - 1

-π

-1

-π⁄4

Tags

CCSS.HSF-IF.C.7E

MULTIPLE SELECT QUESTION

45 sec • 1 pt

What is the vertical shift for the function
f(x) = 4cos(2x + π) + 8

right 8 units

up 4 units

down 8 units

up 8 units

Tags

CCSS.HSF-IF.C.7E

MULTIPLE SELECT QUESTION

45 sec • 1 pt

Identify the phase shift of:

$y=-3\cos\left(2x-\ \pi\right)+4$

$\frac{\pi}{2}\$ to the left

$\pi\$ to the left

$\pi\$ to the right

$\frac{\pi}{2}\$ to the right

Tags

CCSS.HSF-IF.C.7E

MULTIPLE SELECT QUESTION

45 sec • 1 pt

Tags

CCSS.HSF-IF.C.7E

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Trig Test 7.8 Sin and Cos (Phase Shift and Vertical Shift)

What is the vertical shift for y = −3cos⁡(4x +π) − 2y\ =\ -3\cos\left(4x\ +\pi\right)\ -\ 2y = −3cos(4x +π) − 2 ?

Phase shift indicates ...

The Vertical shift indicates...

What is the phase shift for the functionf(x) = -2sin(4x + π) - 1

What is the vertical shift for the functionf(x) = 4cos(2x + π) + 8

Identify the phase shift of: y=−3cos⁡(2x− π)+4y=-3\cos\left(2x-\ \pi\right)+4y=−3cos(2x− π)+4

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What is the vertical shift for
$y\ =\ -3\cos\left(4x\ +\pi\right)\ -\ 2$ ?

What is the phase shift for the function
f(x) = -2sin(4x + π) - 1

What is the vertical shift for the function
f(x) = 4cos(2x + π) + 8

Identify the phase shift of:

$y=-3\cos\left(2x-\ \pi\right)+4$