Respuesta :

gmany

It's in the verex form:

[tex]f(x)+a(x-h)^2+k\\\\(h,\ k)-vertex[/tex]

[tex]y=-3(x-7)^2-8\\\\(7,\ -8)-vertex[/tex]

Answer:

  • The given equation is already in vertex form.
  • The vertex is located  at (7,-8)

Step-by-step explanation:

We Know that a standard form of a quadratic equation is given by:

                  [tex]y=ax^2+bx+c[/tex]

where a,b and c are real numbers

and the vertex form is given by:

                 [tex]y=a(x-h)^2+k------------------(1)[/tex]

where the vertex of the function is at: (h,k)

Here we have the function as:

          [tex]y=-3(x-7)^2-8[/tex]

We observe that the equation matches the equation as in equation (1) ; such that a= - 3, h=7 and k= -8

Hence, the equation is already in vertex form and the vertex is at (7,-8)