Question

Select the correct graph of the function y = –1/8(x – 1)2 – 4 below.

Answer 1

Step-by-step explanation:

The given function is :

$y=\dfrac{-1}{8}(x-1)^2-4$ ...(1)

It is an equation of parabola. The vertex form for equation of parabola is given by :

$y=a(x-h)^2+k$ ...(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.