Name the shape that will result from connecting the following points: left-parenthesis negative 4 comma 1 right-parenthesis, left-parenthesis negative 4 comma negative 4 right-parenthesis, left-parenthesis 0 comma 3 right-parenthesis, and left-parenthesis 0 comma negative 6 right-parenthesis.

The shape that will result is a trapezoid.

To determine the shape that will result from connecting the given points, let's plot them on a coordinate plane.

The given points are:
1. (-4, 1)
2. (-4, -4)
3. (0, 3)
4. (0, -6)

Plotting these points on a coordinate plane, we get:

| 3
|
|
|
| 1
|
|
|
|
----------------------------------------
| -4 0
|
|
|
| -6
| -4
|
|
|
----------------------------------------

Connecting the points in the order given, we see that we get a shape that resembles a trapezoid with two parallel sides.