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 parabola's equation?

The coefficient of the squared expression in the parabola's equation is 4.

Solution:

Given data:

Vertex of the parabola = (–5, –2), x = –4, y = 2

Vertex = (h, k)

Therefore, h = –5 and k = –2

Verex form of the parabola is – – – – (1)

Substitute the value of x, y, h and k in equation in (1).

⇒

⇒

⇒

Substitute a = 4 in equation (1), we get

Hence the coefficient of the squared expression in the parabola's equation is 4.

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