Step-by-step explanation:
The given function is :
[tex]y=\dfrac{-1}{8}(x-1)^2-4[/tex] ...(1)
It is an equation of parabola. The vertex form for equation of parabola is given by :
[tex]y=a(x-h)^2+k[/tex] ...(2)
Here,
Vertex = (h,k), axis = h and rate = a
From equation (1) and (2) :
a = -1/8, h = 1 and k = -4
The atached graph shows the graph for the given equation.
