This problem is a checkpoint for completing the square to find the vertex of a parabola. It will be referred to as Checkpoint 7B.

Complete the square to change the equation $y = 2x^{2} – 4x + 5$ into graphing form. Identify the vertex of the parabola and sketch the graph.

Check your answers by referring to the Checkpoint 7B materials located at the back of your book.

Ideally, at this point you are comfortable working with these types of problems and can solve them correctly. If you feel that you need more confidence when solving these types of problems, then review the Checkpoint 7B materials and try the practice problems provided. From this point on, you will be expected to do problems like these correctly and with confidence.