The vertex of this parabola is at (-5, 4). Which of the following could be its equation?

Question

The vertex of this parabola is at (-5, 4). Which of the following could be its
equation?

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Doris 4 years 2021-09-05T07:49:03+00:00 1 Answers 37 views 0

Answers ( )

  1. Acacia
    0
    2021-09-05T07:50:40+00:00
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    Answer:

    A. y = -(x + 5)^2 + 4

    Step-by-step explanation:

    After a small online search, I’ve found that the options are:

    A. y = -(x + 5)^2 + 4

    B. y = -(x – 5)^2 + 4

    C. y = -(x + 5)^2 – 4

    D. y = -(x – 5)^2 – 4

    For a quadratic equation with a vertex at the point (h, k) is written as:

    y = a*(x – h)^2 + k

    Where a is the leading coefficient.

    So, if here we have the vertex at (-5, 4)

    y = a*(x – (-5))^2 + 4

    y = a(x + 5)^2 + 4

    Then the correct option is the first one, where a = -1, then the correct option is A.

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