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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