1. a sine function has the following key features frequency = 1/4pi amplitude= 2 midline y= 2 y intercept (0,2) this function is not a reflection of its parent function of the x-axis 2. period 4 amplitude 3 midline y = -1 y intercept (0,-1) 3. period = pi amplitude = 2 midline y= -2 y intercept (0,-2)

1)

2)

3)

Step-by-step explanation:

General form of sin function is

Where A is Amplitude

B is

C is Mid line

1) Given : A sine function has the following key features  

Frequency =

Period is

Amplitude= 2

Mid line y= 2

Y intercept (0,2)  

This function is NOT a reflection of its parent function of the x-axis

Solution : We put the value in the general form of sin function

A= 2 ,   , C=2

2) Given : A sine function has the following key features  

Period = 4

Amplitude = 3

Mid line y = -1

Y intercept (0,-1)

Solution : We put the value in the general form of sin function

A= 3 ,   , C=-1

3) Given : A sine function has the following key features  

Period =

Amplitude = 2

Mid line y = -12

Y intercept (0,-2)

Solution : We put the value in the general form of sin function

A= 2 ,   , C=-2

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-22

times both sides by 2, times () by 8, add alile terms, move terms, add alike and caculate divide both sides by 3