Question 1126553
y = f(x+8) is shifted to the left 8 units.


therefore, if f(x) is increasing in the interval of (4,7), then y = f(x + 8) should be increasing in the interval of (-4,-1).


you should be able to take any function and show that this is true.


for example:


let y = f(x) = x^2 - 10


when x = 4, y = 6
when x = 7, y = 39


let y = f(x+8) = (x+8)^2 - 10


when x = -4, y = 6
when x = -1, y = 39


note that -4 + 8 = 4 and -1 + 8 = 7.


so f(4) = 6 and f(-4+8) = f(4).