Answer:
[tex]\textsf{C)}\quad g(x)=\dfrac{1}{2}(x-8)^2-8[/tex]
Vertex = (8, -8)
Step-by-step explanation:
Standard form: [tex]y=ax^2+bx+c[/tex]
Vertex form: [tex]y=a(x-h)^2+k[/tex]
where (h, k) is the vertex
Intercept form: [tex]y=a(x-p)(x-q)[/tex]
where p and q are the x-intercepts
Therefore, the form that most quickly reveals the vertex is
[tex]g(x)=\dfrac{1}{2}(x-8)^2-8[/tex]
The vertex is (8, -8)
