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4 May, 12:21

What is the quadratic function f (x) = x^2+2x-2 in vertex form?

a. f (x) = (x+1) ^2-1

b. f (x) = (x+1) ^2-3

c. f (x) = (x-1) ^2-3

d. f (x) = (x-1) ^2-1

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Answers (1)
  1. 4 May, 15:05
    0
    Given: f (x) = x² + 2x - 2

    Add 2 to both sides: f (x) + 2 = x² + 2x

    Complete the square: f (x) + 2 + (1) = x² + 2x + (1) → f (x) + 3 = (x + 1) ²

    Subtract 3 from both sides: f (x) = (x + 1) ² - 3

    Answer: B
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