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21 December, 01:01

Given the equation 4x2 - 8x + 20 = 0, what are the values of h and k when the equation is written in vertex form a (x - h) 2 + k = 0?

h = 4, k = - 16

h = 4, k = - 1

h = 1, k = - 24

h = 1, k = 16

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Answers (2)
  1. 21 December, 02:14
    0
    The correct option is:

    h = 1, k = 16

    Step-by-step explanation:

    y=4x^2-8x+20 = 0

    It is a quadratic formula in standard form:

    ax^2+bx+c

    where a = 4, b = - 8 and c=20

    The vertex form is:

    a (x - h) 2 + k = 0

    h is the axis of symmetry and (h, k) is the vertex.

    Calculate h according to the following formula:

    h = - b/2a

    h = - (-8) / 2 (4)

    h = 8/8

    h = 1

    Substitute k for y and insert the value of h for x in the standard form:

    ax^2+bx+c

    k = 4 (1) ^2 + (-8) (1) + 20

    k = 4-8+20

    k=-4+20

    k = 16

    Thus the correct option is h=1, k=16 ...
  2. 21 December, 02:58
    0
    h=1 k=16
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