Answer:
The equation of the quadratic in standard form is:

Step-by-step explanation:
Since they give us the information about where the vertex of the parabola is located, and one extra points where it passes through, we can use the general form of a quadratic in vertex form:

where
is the location of the vertex (in our case the point (-2,6).
Therefore the equation above becomes:

Now,we can use the fact that the point (-4,-2) is also a point of the graph, to find the value of the parameter
:

Then, the equation of the quadratic with such characteristics becomes:

which is the equation of the quadratic in standard form.