Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. For each description of a graph, identify the sine function with those parameters.
p(x) = 8sin(pi x +4) +2
r(x) = sin(4x +8) +2
f(x) = 4sin((1/pi)x -2) +8
q(x) = 4sin(2x - pi) + 8
h(x) = 8sin(pi x - 2) + 4
g(x) = 2sin(8x + pi) +1

Amplitude: 2
Period: 1/8
Midline: y = 1
Amplitude: 4
Period: 1/2
Midline: y = 8
Amplitude: 8
Period: 1/pi
Midline: y = 4
Amplitude: 1
Period: (this wouldnt load on the site so idk what it is)
Midline: y = 2

Match list below

Step-by-step explanation:

The Sine Function

The general expression for the sine function is

Where:

A=Amplitude

w=angular frequency

x = variable

z = phase shift

M = Midline or vertical shift

The angular frequency can be expressed as a function of the period T

Solving for T

Now, let's analyze each description and find its sine function

Amplitude: 2

The only function that has amplitude 2 (the coefficient of the sine) is

g(x) = 2sin(8x + pi) +1

Period: 1/8

Let's compute w

We find no function with such an angular frequency

Midline: y = 1

There is only one function with M=1 as compared to the general function

g(x) = 2sin(8x + pi) +1

Amplitude: 4

We find two functions:

f(x) = 4sin((1/pi)x -2) +8

q(x) = 4sin(2x - pi) + 8

Period: 1/2

No function can be found with that value of w

Midline: y = 8

Two functions have such a midline

f(x) = 4sin((1/pi)x -2) +8

q(x) = 4sin(2x - pi) + 8

Amplitude: 8

We can find two functions like that

p(x) = 8sin(pi x +4) +2

h(x) = 8sin(pi x - 2) + 4

Period: 1/pi

No function complies with that condition

Midline: y = 4

h(x) = 8sin(pi x - 2) + 4

is the only one to have midline y=4

Amplitude: 1

r(x) = sin(4x +8) +2

Midline: y = 2

p(x) = 8sin(pi x +4) +2

r(x) = sin(4x +8) +2

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

is should be y = 5x

step-by-step explanation:

correct me if im wrong