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