Respuesta :

The vertex of the curve iis given to be

[tex](5,-6)[/tex]

The vertex form of a quadratic equation is given as

[tex]y=a(x-h)^2+k[/tex]

Where (h, k) is the vertex

From the given vertex, we have that

h = 5, k = -6

Therefore, the equation becomes

[tex]y=a(x-5)^2-6[/tex]

whcere a can be any value

When a = 1

The graph will be

[tex]y=(x-5)^2-6[/tex]