[tex]\begin{gathered} \text{The equation of the blue graph is;} \\ G(x)=(x+2)^2+1 \end{gathered}[/tex]
Here, we want to deduce the equation of the blue graph
From what we have, we can see that the image of the f(x) was moved 2 units to the right and 1 unit upwards
What this mean is that, we have 1 added to the y value and 2 added to the x value
So, the equation of the blue graph is
[tex]G(x)=(x+2)^2+1[/tex]
