Math Transformations Of A Function

**#1 If the point (10,6) is on the graph of y = f(x), what point is on the graph of y = f(-2x-4)?** **Answer: (-7,6) **

My work:

y = f(-2(x+2))

... Unsure how to complete this and go on.

**#2 The zeros of the function y = f(x) are -4, 1, and 2. Determine the zeros of the new function y = -f(x-1).**

My work:

(-4,0)

(1,0)

(2,0)

-4+1 = -3

-1+1 = 0

2+1 = 3

(-3) x -1 = 3

0 x -1 = 0

3 x -1 = -3

#3 The maximum value of y = f(x) is 6. Find the maximum value of y = (1/3)f((1/2)x).

My work: (1/3)f((1/2)(6)) = 1. Not right though.