Write the equation of the parabola in vertex form.
vertex(2,1),points (1,-4)
F(x)=?

Step-by-step explanation:

The general vertex form is given by

where (h, k) is the vertex and a is a constant. So we can write the y as

To find the value of a, substitute the point (1, -4)

-4 = a(1 - 2)^2 + 1

or a = -5

Therefore, the vertex form of the parabola is