### Home > A2C > Chapter 5 > Lesson 5.1.1 > Problem5-6

5-6.

Solve $(x − 2)^2 − 3 = 1$ graphically. That is, graph $y = (x − 2)^2 − 3$ and $y = 1$ on the same set of axes and find the $x$-value(s) of any points of intersection. Then use algebraic strategies to solve the equation and verify that your graphical solutions are correct.

Look at the points of intersection. What is the value of $x$ at each point of intersection?
Check to see if these values make the original equation true.

Use the eTool below to graph the problem.
Click the link at right for the full version of the eTool:  5-6 HW eTool