The descriptions which match the given transformations are;
- f(x)−4 = f(x) is translated 4 units down
- 4f(x) = f(x) is stretched vertically by a factor of 4.
For f(x)−4:
- Subtracting “-4” from the definition of a function, f(x) causes the entire function to be “translated vertically” by a negative four. (vertically downward)
This process works for all functions, and is usually thought through in the reverse order (i.e vice versa)
For 4f(x):
If a function g(x) = 4f (x): For any given input, the output of g is four times the output of f, so the graph is stretched vertically by a factor of 4.
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