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13 February, 06:42

The vertex of this parabola is at (-2, - 3) when the y value is - 5 and the x value is - 1 what is the coefficient of the squared expression

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  1. 13 February, 06:57
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    a = - 2

    Step-by-step explanation:

    The equation of a parabola in vertex form is

    y = a (x - h) ² + k

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

    here (h, k) = ( - 2, - 3), hence

    y = a (x + 2) ² - 3

    To find a substitute x = - 1, y = - 5 into the equation

    - 5 = a - 3 ⇒ a = - 5 + 3 = - 2

    The coefficient of the squared expression is - 2
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