The graph of f(x) can be compressrd vertically and shifted to the right to produce the graph of g(x). if f(x) = x^3, which of the following could be the equation of g(x)?
a.) g(x) = 1/2(x-6)^3
b.) g(x) = 2(x-6)^3
c.) g(x) = 2(x+6)^3
d.) g(x) = 1/2(x+6)^3

It is option A. A vertical compression means that the function is only a "fraction" of its original height, hence the fractional coefficient. 

REMEMBER, movement along the x-axis is always the OPPOSITE of what you think. So left = + and right = - 

So (x-6) actually means a shift 6 units to the right. (NOT left like you would naturally think) 

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above

the solution is the point

step-by-step explanation:

we have

> equation a

> equation b

adds equation a and equation b

substitute the value of x in equation b to find the value of y

the solution is the point