trevonandrews15
Answered

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-2x^2 + 4x + 16 in vertex form​

Sagot :

Answer:

y = - 2(x - 1)² + 18

Step-by-step explanation:

- 2x² + 4x + 16 ← factor out - 2 from the first 2 terms

= - 2(x² - 2x) + 16

using the method of completing the square

add/subtract ( half the coefficient of the x- term)² to x² - 2x

= - 2(x² + 2(- 1)x + 1 - 1) + 16

= - 2(x - 1)² + 2 + 16

= - 2(x - 1)² + 18 ← in vertex form

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