Question 1199724
**1. Transformations:**

* **Vertical Stretch:** The coefficient -2 stretches the graph of f(x) vertically by a factor of 2.
* **Reflection in the x-axis:** The negative sign in front of -2f(x) reflects the graph of f(x) across the x-axis.
* **Vertical Shift:** The "-1" at the end of the equation shifts the graph of -2f(x) downward by 1 unit.

**2. Simplified Equation for g(x)**

* g(x) = -2 * f(x) - 1
* g(x) = -2 * (3x + 1) - 1 
* g(x) = -6x - 2 - 1
* g(x) = -6x - 3

**Therefore:**

* The transformations applied to f(x) to obtain g(x) are: vertical stretch by a factor of 2, reflection in the x-axis, and a vertical shift downward by 1 unit.
* The simplified equation for g(x) is g(x) = -6x - 3.