What is y = - x^2-2x+3 in vertex form

Question

Mathematics

Stewart

25 May, 12:48

What is y = - x^2-2x+3 in vertex form

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Answers (1)

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Issac Rivers · Answer 1

y = - x² - 2x + 3

y - 3 = - x² - 2x + 3 - 3

y - 3 = - x² - 2x

y - 3 - 1 = - x² - 2x - 1

y - 4 = - (x²) - (2x) - (1)

y - 4 = - (x² + 2x + 1)

y - 4 = - (x² + x + x + 1)

y - 4 = - (x (x) + x (1) + 1 (x) + 1 (1))

y - 4 = - (x (x + 1) + 1 (x + 1))

y - 4 = - (x + 1) (x + 1)

y - 4 = - (x + 1) ²

y - 4 + 4 = - (x + 1) ² + 4

y = - (x + 1) ² + 4