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22 March, 09:16

The vertex form of the equation of

a parabola is y = 2 (x + 4) ^2 - 7. What is the standard form of the equation?

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Answers (1)
  1. 22 March, 10:33
    0
    The standard form of the equation is y = 2x^2 + 16x + 25

    Step-by-step explanation:

    To find the standard form, first square the parenthesis.

    y = 2 (x + 4) ^2 - 7

    y = 2 (x^2 + - 8x + 16) - 7

    Now distribute the 2

    y = 2 (x^2 + 8x + 16) - 7

    y = 2x^2 + 16x + 32 - 7

    Now combine like terms

    y = 2x^2 + 16x + 32 - 7

    y = 2x^2 + 16x + 25
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