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# 5_4 - 5.4 Completing the Square 5.4 COMPLETING THE SQUARE...

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5.4 Completing the Square Algebra 2 24 5.4 COMPLETING THE SQUARE Learning Targets: 1. Identify 2 y ax bx c as the standard form of a quadratic equation. 2. Be able to complete the square 3. Find the vertex and graph equations in standard form. when a = 1 and when a ≠ 1. 4. Use projectile motion equation 2 0 0 16 h t v t h   to find the height of a projectile. Standard Form : 2 y ax bx c Equations that in the form . Completing the Square Example 1 : What must be added to the expression 2 8 x x in order to complete the square. Completing the square works when the coefficient of the x 2 term is 1. If a doesn’t equal 1, then divide everything by (or factor out an) a . To complete the square … 1. Take ½ the b term. 2. Square that answer 3. Add this value to the expression to complete the square. (In an equation … add it to the other side too) Example 2 : What must be added to the expression 2 3 5 x x in order to complete the square.

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