Completing the Square. Methods for Solving Quadratics Graphing Factoring Completing the Square...
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Completing the Square
Methods for Solving Quadratics
• Graphing• Factoring• Completing the Square• Quadratic Formula
Square Root Method
Square root method2 64x
Solve: 2 24x
Solve: 2 8 4x
Solve: 2( 3) 32x
Solve: 23( 7) 15x
Solve: 22( 5) 3 25x
Completing the Square
Complete the square to solve.
Complete the square to solve.
Complete the square to solve.
Complete the square to solve.
Vertex Form of a Quadratic
• Standard Form:
),(:)(: 2
2
khvertexkhxayformvertex
cbxaxy
Give the Vertex, LOS, and Max/Min
𝑓 (𝑥 )=3 (𝑥−2 )2−4
Give vertex, los, and max/min
𝑦=− (𝑥+3 )2+4
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 constant2. Factor out the # in front of x2
3. Take ½ of middle term and square it4. Write in factored form for the perfect sq.
trinomial5. Add to both sides (multiply by # in front)6. Move constant back to get in (h,k) form
Examplesyxx 1062
Examplesyxx 4162 2
Exampleyxx 2293 2
Exampleyxx 3652 2