Respuesta :

K is the y coordinate of the vertex   which is -2.

Answer:

k is equal to [tex]-2[/tex]

Step-by-step explanation:

we know that

The equation of a vertical parabola into vertex form is equal to

[tex]f(x)=a(x-h)^{2}+k[/tex]

where

(h,k) is the vertex of the parabola

In this problem the vertex of the parabola is the point [tex](4,-2)[/tex]

therefore

h is equal to [tex]4[/tex]

k is equal to [tex]-2[/tex]