### Home > CCA > Chapter 9 > Lesson 9.3.1 > Problem 9-76

9-76.

For the quadratic function :

Use the idea of completing the square to write it in graphing form.

**Example 3:**Solveby completing the square.**Solution:**This method works most efficiently when the coefficient ofis. Rewrite the equation as . Rewrite the left side as an incomplete square:Generic rectangle left edge

+

interior top left

interior bottom left

interior bottom right

bottom edge

+ Complete the square and rewrite as

or Take the square root of both sides,

. Solving forreveals thator.State the vertex and sketch a graph of the parabola.

In the standard equation, the vertex is (

.) Use the graph to explain why the equation

has no real solutions.Are there any

-intercepts?