PREC11 Unit1 notes

Get the equation ready to complete the square factor

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Unformatted text preview: ) x2 + x + _____ d) x2 − 1 x 3 + _____ e) x2 − nx + _____ = It is simple to complete the square when the coefficient of the x2-term is 1. "Completing the square" is an important step when rewriting quadratic functions from standard form to vertex form; it is how we get (x − p)2 . Every step during the conversion must follow algebraic rules so that the vertex form equation will be equivalent to the standard form equation so both equation will give us the same graph. Unit 1 – Day 8: Completing the Square Page 2 of 2 CONVERTING STANDARD EQUATIONS TO VERTEX FORM example: Rewrite y = x2 − 6x + 7 in vertex form by completing the square. • Get the equation ready to complete the square. Keep the first two terms together. y = x2 − 6x • Add the term needed to complete the square, but the equation must remain equivalent to the original equation. That can be done by also subtracting the amount being added. y = x2 − 6x + 9 − 9 + 7 • Write the perfect square trinomial as a squar...
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This document was uploaded on 02/16/2014 for the course MATH Pre-Calcul at Holy Cross Regional High School.

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