X/y intercept for translations of f(x)

[roger]

Hello

please can you guys help me on this :

f(x) = x^2 + 2x + 2

af(x)=
f(ax)=
-f(x)=
f(-x)=


In each of the cases above, I wanted to know given a function, does the graph of it change in terms of the x intercept , y intercept and vertex ?

Does it depend on the particular function or not ?


Thanks in advance.

roger

 

[Skomatth]

Why don't you first change that equation into transformation/vertex form
$$f(x) = (x-h)^2 + k$$

The make up numbers for a and see how it changes.

 

[primarygun]

af(x) represent the graph of f(x) is enlarged a times of the oringinal to the y-axis.