Question

I dont understand what the graph and equation is the same

Answer 1

From the graph we can conclude:

For;

`x<2`

The function is a parabola centered at the origin and shifted 4 units up, therefore:

`y=x^2+4`

And for:

`x\ge2`

The function is a line which slope is -1 and its y-intercept is 4, so:

`y=-x+4`

Answer:

`y=\begin{cases}x^2+4,_{\text{ }}x<2 \\ -x+4,_{\text{ }}x\ge2\end{cases}`