Step-by-step explanation:
The general vertex form is given by
[tex]y = a {(x - h)}^{2} + k[/tex]
where (h, k) is the vertex and a is a constant. So we can write the y as
[tex]y = a {(x - 2)}^{2} + 1[/tex]
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
[tex]y = - 5 {(x - 2)}^{2} + 1[/tex]
