Answer:

Explanation:
Equation of the Quadratic Function
The vertex form of the quadratic function has the following equation:

Where (h, k) is the vertex of the parabola that results when plotting the function, and a is a coefficient different from zero.
Substituting the coordinates of the vertex (3,-4):

Now we find the value of a by substituting the point through which the function passes (1,2):

Operating:



Thus, the equation is:

Expanding the square:

Operating:

Simplifying:
