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30 December, 19:53

The vertex form of the equation of a parabola is y = 2 (x + 3) 2 - 5.

What is the standard form of the equation?

A. x = 2y2 + 5y + 9

B. y = 2x2 + 5x + 9

C. y = 4x2 + 4x + 4

D. y = 2x2 + 12x + 13

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Answers (1)
  1. 30 December, 23:35
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    Y = 2 (x+3) ² - 5

    (x+3) ² = x (x+3) + 3 (x+3) ⇒ x² + 3x + 3x + 9 = x² + 6x + 9

    y = 2 (x² + 6x + 9) - 5

    y = 2x² + 12x + 18 - 5

    y = 2x² + 12x + 13 This is the standard form of the equation. Choice D.
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