Which of the following reveals the minimum value for the equation 2x2 − 4x − 2 = 0?

2(x − 1)2 = 4
2(x − 1)2 = −4
2(x − 2)2 = 4
2(x − 2)2 = −4

Step-by-step explanation:

we have

This is the equation of a vertical parabola open upward

The vertex is a minimum

Convert the equation into vertex form

Group terms that contain the same variable and move the constant to the other side

Factor the leading coefficient

Rewrite as perfect squares

-----> this is the answer

The vertex is the point (1,-4)

a 90 degree rotation across the the origin followed by a reflection across the x-axis.

step-by-step explanation: