100 points and brainliest to get both of these answer the third question on my profile : )

1. f

2.b

3. d

4. a

5. e

6. g

7. c

Step-by-step explanation:

The parent function is .

So,  

1. ≡ f. reflected across x-axis and 4 units up

2. ≡ b. 4 units down and 4 units right.

3. ≡ d. 4 units up and 4 units left.

4. ≡ a. reflected across x-axis and 4 units down.

5. ≡ e. 4 units down

6. ≡ g. 4 units up.

7. ≡ c. 4 units right. (Answer)

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2

80

step-by-step explanation: