### Home > A2C > Chapter 7 > Lesson 7.1.1 > Problem7-13

7-13.

Graph the system of $y ≥ x^{2}$ and $y ≥ \left(x − 4\right)^{2} + 2$ and shade their overlapping region. How is the graph of $y ≥ \left(x − 4\right)^{2} + 2$ positioned in relation to the graph of $y ≥ x^{2}$?

Notice the position of each vertex.

The second graph is shifted $4$ units to the right. How many units up is it shifted?