Answer:
[tex](-2,4)[/tex]
Step-by-step explanation:
Well to start with there is a vertex formula which is [tex]-\frac{b}{2a} =h\\[/tex], [tex]f(h)[/tex]
Your initial equation is [tex]x^2+4x+8[/tex] where [tex]ax^2+bx+c[/tex]. So you would plug in your numbers [tex]-\frac{4}{2(1)}[/tex][tex]=-\frac{4}{2} =-2[/tex] we know know that [tex]h=-2[/tex] so plug in h in [tex]f(-2)[/tex] which would be (-2)^2+4(-2)+8 = 4-8+8 = 4 which would make the vertex [tex](-2,4)[/tex]
