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30 April, 18:21

The standard form of the equation of a parabola is y = x2 - 8x + 29.

What is the vertex form of the equation?

O A. y = (x-4) 2 + 13

O B. y = (x-4) 2 + 18

O c. y = (x+4) (x-4) + 13

O D. y = (x-4) 2 + 28

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Answers (1)
  1. 30 April, 18:43
    0
    A

    Step-by-step explanation:

    Put brackets around the first two tems.

    y = (x^2 - 8x) + 29

    Take 1/2 coefficient of the linear term - 8. Square that result. Add it inside the brackets.

    1/2 ( - 8) = - 4

    ( - 4) ^2 = 16

    y = (x^2 - 8x + 16) + 29

    Subtract 16 outside the brackets.

    y = (x^2 - 8x + 16) + 29 - 16

    Do the subtraction

    y = (x^2 - 8x + 16) + 13

    Represent what is inside the brackets as a square.

    y = (x - 4) ^2 + 13

    The answer is A
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