Answer: g(x) = 3x²
Explanation:
Since we have given that
![f(x)=x^2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/gd13a4u7jfhi2500q0c3xp0i73vo2psy4f.png)
So, the function of g(x) would be
![g(x)=ax^2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/nzd9uj3k9a4robcr10ed9h1xxp3v2jecy6.png)
since we have given that
(1,3) on g(x means (x,ax)
Here, x = 1.
So, ax = 3
which implies that a = 3.
So, g(x) would look like
![g(x)=3x^2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/uqkfqmm745lchdjw445aml8r95bd7eqyrr.png)
and the graph of g(x) is compressed.