What is this form called? a^2 + 2ab + b^2
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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.