Answer:
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