Question

How are the graphs `f(x)=x^2` and `g(x)=4(x-3)^2` related?

Answer 1

`g(x)` is shifted 3 units right and stretched vertically by a factor of 4 (`4*y`). That means `(1,1)` becomes `(1,4)` etc. as the graph shows.

Explanation:

`f(x)=x^2`

graph{x^2 [-10, 10, -5, 5]}

`g(x)=4(x-3)^2`

graph{4(x-3)^2 [-10, 10, -5, 5]}