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The vertex of this parabola is at (-5, -2). When the x-value is -4, the y-value is 2. What is the coefficient of the squared expression in the parabolas equation?

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meerkat18

in vertex the parabola is

y = a(x -b)^2 + c

vertex is at
(-5,-2) s0

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

x = -4 when y = 2
so

2 = a(-4+5^)2 - 2

2 = a - 2

a = 4

 therefor
4 is the coefficient of x^2 in the parabola's equation

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