Answer:
Option a is right.
Step-by-step explanation:
Parent funciton is

The new graph is

Since there is no change for x, there is no horizontal shift.
BUt since sign is changed there is a reflection on the line y=0 i.e. x axis.
Also new y is -2x^3 , -2 indicates the vertical shrink by scale factor 1/2
Option a is right
i.e. there is a reflection on x axis also there is a compression of scale factor 2 vertically.
The formula for fractional exponents is
For this particular problem the expression would be written as
Answer:

Step-by-step explanation:
Given


Required
Write the equation of the function 
Express the function as:

In: 

--- (1)
In 

--- (2)
Divide (2) by (1)






Substitute 5/6 for b in (1)






The function: 

Answer: see below
<u>Step-by-step explanation:</u>
1) 10, 2, 1.2, 1.12, 1.112, 1.1112

t₁ = 10
t₂ = 10/10 + 1 = 2
t₃ = 2/10 + 1 = 1.2
t₄ = 1.2/10 + 1 = 1.12
t₅ = 1.12/10 + 1 = 1.112
t₆ = 1.112/10 + 1 = 1.1112
2) 10, 2, -2, -4, -5, -5.5, ...

t₁ = 10
t₂ = 10/2 - 3 = 2
t₃ = 2/2 - 3 = -2
t₄ = -2/2 - 3 = -4
t₅ = -4/2 - 3 = -5
t₆ = -5/2 - 3 = -5.5