camk4420
03.07.2019 •
Mathematics
Let f(x) represent a function. which descriptions match the given transformations? drag and drop the answers into the boxes. f(x−3.5) 3.5f(x) f(x) is translated 3.5 units left.f(x) is translated 3.5 units down.f(x) is vertically compressed by a factor of 3.5.f(x) is translated 3.5 units up.f(x) is vertically stretched by a factor of 3.5. f(x) is translated 3.5 units right.
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Ответ:
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.
Ответ: