For f(x - 3.5) the answer is that f(x) is translated 3.5 units right
You can figure that out by thinking that for x = 3.5 (which is 3.5 units to the right of x = 0, f(3.5 - 3.5) is the same that f(0), ... for x = 10.5 (which is 3.5 units to the right of x = 7, f(10.5 - 3.5) = f(7) ... and so for every value of x.
For 3.5 f(x) the answer is that f(x) is vertically stretched by a factor of 3.5 which you figure out from a table like this:
f(x) 3.5 f(x)
0 0
1 3.5
2 7
10 35
And from that you can see the 3.5 f(x) is horizontally compressed and vertically stretched respect to f(x). so for overall the answer is
f(x - 3.5) f(x) is translated 3.5 units right
f(x) is vertically stretched by a factor of 3.5
Answer:
f(x−3.5) -> f(x) is translated 3.5 units right.
3.5f(x) -> f(x) is vertically stretched by a factor of 3.5.
Step-by-step explanation:
Given some function f(x), for x = 0 it is associated f(0), for x = -3.5 it is associated f(-3.5) . Now, applying f(x−3.5) when x = 0 gives f(-3.5). Following the same procedure with all the other points the same happen, and f(x) is translated 3.5 units right.
Continuing with the same example, applying the transformation 3.5f(x) when x = 0 gives 3.5f(0), when x = 1 then the transformation results in 3.5f(1) . Following the same procedure with all the other points results in f(x) vertically stretched by a factor of 3.5.
