### Home > INT2 > Chapter 12 > Lesson 12.1.2 > Problem 12-24

12-24.

For the quadratic function :

Complete the square to write the equation in graphing form.

Use the Math Notes box.

Example 3: Solve

by completing the square. Solution: This method works most efficiently when the coefficient of

is .

Rewrite the equation as. Rewrite the left side as an incomplete square. Complete the square and rewrite as

or Take the square root of both sides,

. Solving for reveals that or . State the vertex and sketch a graph of the parabola.

In the standard equation, the vertex is

. What does the graph tell you about the solutions to the equation

? Explain.Are there any

-intercepts?