As we can see we have the parent function
![F(x)=x^2](https://img.qammunity.org/2023/formulas/mathematics/college/uy0hgtc4q10dh9hhtqg1vcdjntkbr14n8f.png)
as we can note in the problem said that g(x) has the same shape, therefore we only have displacements
We have a displacement to the right by 2 units so we will subtract 2 to the x and a displacement up by one unit we need to add 1 to the function
therefore G(x) is
![G(x)=(x-2)^2+1](https://img.qammunity.org/2023/formulas/mathematics/college/b1en2l8rzf095ko4timzufyc6lcg5wwgho.png)