- #1
Abu
- 39
- 16
Hi everyone. I'm getting slightly confused about the general function notation used. I was wondering if the name of the function were to change if there was an edit to the equation.
What I mean is let's say we have the graph f(x) = x^2. If I were to vertically stretch this equation by a factor of 2, would I still identify it as f(x), or instead g(x) because now it is an entirely new graph that doesn't follow the original equation of f(x) = x^2... instead, it could be:
f(x) = 2x^2
g(x) = 2x^2
f(2x) = 2x^2
Do all of these work and I am just overthinking it? I am inclined to say that the last two are correct and the first one is incorrect because it directly contradicts the statement that f(x) = x^2
Thanks.
Note: this is not a homework question, just didn't know how to clearly explain my question any other way.
What I mean is let's say we have the graph f(x) = x^2. If I were to vertically stretch this equation by a factor of 2, would I still identify it as f(x), or instead g(x) because now it is an entirely new graph that doesn't follow the original equation of f(x) = x^2... instead, it could be:
f(x) = 2x^2
g(x) = 2x^2
f(2x) = 2x^2
Do all of these work and I am just overthinking it? I am inclined to say that the last two are correct and the first one is incorrect because it directly contradicts the statement that f(x) = x^2
Thanks.
Note: this is not a homework question, just didn't know how to clearly explain my question any other way.