Answer:

Step-by-step explanation:
<u><em>The options of the question are</em></u>
2(x − 1)2 = 4
2(x − 1)2 = −4
2(x − 2)2 = 4
2(x − 2)2 = −4
we have

This is a vertical parabola open upward
The vertex represent the minimum value
The quadratic equation in vertex form is

where
a is a coefficient
(h,k) is the vertex
so
Convert the quadratic equation in vertex form
Factor 2 leading coefficient

Complete the squares


Rewrite as perfect squares

The vertex is the point (1,-4)
Move the constant to the right side
