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23 January, 03:02

Tell whether y = - 3 (x+1) ^2+4 has a minimum value or a maximum value. Then find the value

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  1. 23 January, 03:47
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    maximum value

    Step-by-step explanation:

    Given a parabola in vertex form

    y = a (x - h) ² + k

    where (h, k) are the coordinates of the vertex and a is a multiplier

    • If a > 0 then minimum value of k

    • If a < 0 then maximum value at k

    Given

    y = - 3 (x + 1) ² + 4

    a = - 3 < 0 ⇒ maximum value

    The maximum value is the y - coordinate of the vertex

    That is k, thus maximum value = 4
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