Respuesta :
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)