### Home > A2C > Chapter 4 > Lesson 4.3.2 > Problem 4-148

Jessica's new dilemma is the following problem:

Use the idea of completing the square to write the following quadratic function in graphing form:

As usual, Anita was looking over Jessica's shoulder as she read the problem. *“You can't do that one with the tiles,”* she announced.

*“Why not?”* asked Jessica.

*“Because it has negatives in it, and our teacher said the tiles are only a good model for positive numbers, but not negatives,”* Anita assured her.

*“Who needs the tiles?”* said Jessica. *“I can use the* idea *of completing the square algebraically. See, the complete square for is*

*. So I just have to subtract 11 to get that expression to equal* .”

Based on Jessica's method above, what is the graphing form of this equation? State the vertex and sketch the graph.

How many ones do you need to make a perfect square? How many do you have?

Use the idea of completing the square to write the function

in graphing form. State the vertex and sketch the graph.See part (a).