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.