Question

The graphs below have the same shape. What is the equation of the blue graph? Gox= ?

Answer 1

`\begin{gathered} \text{The equation of the blue graph is;} \\ G(x)=(x+2)^2+1 \end{gathered}`

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

`G(x)=(x+2)^2+1`