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: 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: 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 for reveals that or . 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?