Completing the Square. Methods for Solving Quadratics Graphing Factoring Completing the Square Quadratic Formula.

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Presentation transcript:

Completing the Square

Methods for Solving Quadratics Graphing Factoring Completing the Square Quadratic Formula

Square Root Method

Square root method

Solve:

Solve:

Solve:

Solve:

Solve:

Completing the Square

Complete the square to solve.

Vertex Form of a Quadratic Standard Form:

Give the Vertex, LOS, and Max/Min

Give vertex, los, and max/min

Completing the Square Used to go from standard form to vertex form or to get the equation in the form of a perfect square to solve Steps: 1.Move the constant 2.Factor out the # in front of x 2 3.Take ½ of middle term and square it 4.Write in factored form for the perfect sq. trinomial 5.Add to both sides (multiply by # in front) 6.Move constant back to get in (h,k) form

Examples

Examples

Example

Example