Answer:
B. [tex](?5,8)[/tex]
Step-by-step explanation:
We have been given a parabola with vertex (h, k) and a vertical axis of symmetry is modeled by the equation [tex]y-k = a(x-h)^2[/tex].
We are also given a parabola [tex]y=(x?5)^2+8[/tex].
Let us convert our given parabola equation in axis of symmetry equation as shown below:
[tex]y=(x?5)^2+8[/tex]
[tex]y-8=(x?5)^2+8-8[/tex]
[tex]y-8=1(x?5)^2[/tex]
Upon comparing our equation with equation [tex]y-k = a(x-h)^2[/tex], we can see that [tex]h=?5[/tex] and [tex]k=8[/tex].
Therefore, the vertex of the parabola is [tex](?5,8)[/tex] and option B is the correct choice.
