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 equation?

The coefficient of the squared expression in the parabola equation is

Step-by-step explanation:

The equation of a parabola in its vertex form is:

Where the vertex of the parabola is the point (h, k)

a is the ceoficiente of the term to the square.

We need to find the equation of a parabola that has its vertex in the point:

(-5, -2)

So:

Therefore the equation is:

We know that the point (-4, 2) belongs to this parable. Then we can find the value of a by replacing the point in the equation of the parabola

Finally the coefficient is a = 4

f

step-by-step explanation:

f

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