The graphs below have the same shape. Complete the equation of the bluegraph. Enter exponents using the caret (1); for example, enter x as x^2. Donot include "G(x) =" in your answer.FO= x2GOO = ?+5G(X) =

As we can see we have the parent function
[tex]F(x)=x^2[/tex]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
[tex]G(x)=(x-2)^2+1[/tex]