3.3 Completing the Square.

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Presentation transcript:

3.3 Completing the Square

What You Will Learn Solve quadratic equation using square roots Solve quadratic equations by using completing the square Write the quadratic functions in vertex form

Solving Quadratic Equations Using Square Root Remember So, the solutions are

Completing The Square How it works:

Important Step! Make sure to divide by coefficient of before completing the square.

Important Step! Make sure to divide bycoefficient of before completing the square.

Writing Quadratic in Vertex Form

Write function in vertex form. Modeling with Mathematics: Example The height in feet of a baseball t seconds after it is hit can be modeled by the function: a)Find the maximum height of the baseball. Write function in vertex form. The maximum height of the basebal 147 ft

Modeling with Mathematics: Example continued The height in feet of a baseball t seconds after it is hit can be modeled by the function: b)How long does it take to hit the ground? Find zeros of the function

The vertex indicates the maximum height is at 147 feet when time = 3 seconds. The zeros indicate when the baseball is on the ground, t = 6 sec.

The End